Kirchhoff's Laws & Measuring Instruments

The currents in different parts of the electric circuit are shown in following figure. The value of current $i$ is

Which one of the following is not a measurable quantity?

A galvanometer of resistance $100\ \Omega$ gives full scale deflection for a current of 1 mA. It is converted into an ammeter of range $0 - 10\text{ A}$. The shunt required is:

A voltmeter with internal resistance of $x\ \Omega$ can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to ______.

A moving coil galvanometer of resistance $100\ \Omega$ shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA, is $\underline{\qquad}\ \Omega$

In the circuit shown in the figure, the current through

In the following figure, the current I is equal to

In the following network, the current flowing through $15\ \Omega$ resistance is

Refer to the figure given below, current between terminals $A$ and $B$ is

______ A.

In the following network,

$I_1 = -0.4$ A, $I_4 = 1$ A, $I_5 = 0.4$ A

The values of $I_2, I_3$ and $I_6$ are respectively

A uniform metallic wire having resistance $4\ \Omega$ is bent to form a square loop (ABCD) (see figure). A resistance of $2\ \Omega$ is connected between points $B$ and $D$ and a battery of 2 V is connected across points $A$ and $C$ as shown in the figure. Now the value of current $(l)$ is:

Refer to the figure given below. The values of $I_1, I_2$ and $I_3$ are ______.

The voltage and the current between $A$ and $B$ points shown in the circuit are ______.

The reading of the ammeter $(A)$ in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is ______ A.

Two resistors of $100\ \Omega$ each are connected in series with a 9 V battery. A voltmeter of $400\ \Omega$ resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is ______ V.

By connecting a resistance of $980\ \Omega$ in series with a galvanometer, it is converted into a voltmeter of a certain range. When the resistance of $470\ \Omega$ is connected in series, the range is halved. The resistance of the galvanometer is

With a resistance '$X$' connected in series with a galvanometer of resistance $100\ \Omega$, it acts as a voltmeter of range 0 - 15 V. To double the range, a resistance of $1500\ \Omega$ is to be connected in series with '$X$'. The value of '$X$' in $\Omega$ is

Kirchhoff's voltage law and current law are based (respectively) on the conservation of

The value of the shunt resistance that allows $10\%$ of the main current through the galvanometer of $99\ \Omega$ is

The voltmeter has range 10 V and its internal resistance is $50\ \Omega$. To increase the range of voltmeter to 15 V, the resistance which is to be connected is

If an ammeter is to be used in place of a galvanometer then we must connect

Only $4\%$ of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is G, then the shunt resistance connected to the galvanometer is

If only $5\%$ of the total current is to be passed through galvanometer of resistance G, then the resistance of the shunt will be

A galvanometer having a coil of resistance $30\ \Omega$ need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be $\frac{30}{X}\ \Omega$, where $X$ is

In the following circuit, the current through $6\ \Omega$ resistor is

The current passing through the battery in the given circuit, is:

The net current flowing in the given circuit is __________ A.

Two batteries of e.m.f 4 V and 8 V with internal resistance $1\ \Omega$ and $2\ \Omega$ respectively are connected in a circuit with a resistance of $9\ \Omega$ as shown in the figure. The current and potential difference between the points ' P ' and ' Q ' is $R = 9\ \Omega$

The value of current I in the given circuit is

The potential difference $(V_A - V_B)$ between the points A and B in the given figure is

A constant voltage of 50 V is maintained between the points $A$ and $B$ of the circuit shown in the figure. The current through the branch $CD$ of the circuit is:

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_p = 1\ \Omega$ as shown in the figure. An external resistance of $R_e = 2\ \Omega$ is connected via the sliding contact. The electric current in the circuit is:

When a resistance of $100\ \Omega$ is connected in series with a galvanometer of resistance ' G ', its range is ' $V$ '. To double its range, a resistance of $1000\ \Omega$ is connected in series. The value of ' $G$ ' is

With a resistance ' X ' connected in series with a galvanometer of resistance $100\ \Omega$, it acts as a voltmeter of range $0 - 15\text{ V}$. To double the range, a resistance of $1500\ \Omega$ is to be connected in series with ' X '. The value of ' X ' in ohm is

The scale of a galvanometer is divided into 160 equal divisions. The galvanometer shows full scale deflection of 16 mA and maximum voltage is 80 mV. Now the range is changed so that galvanometer reads 160 V. The required resistance to be connected is

In the figure shown below, a resistance of $150.4\ \Omega$ is connected in series to an ammeter A of resistance $240\ \Omega$. A shunt resistance of $10\ \Omega$ is connected in parallel with the ammeter. The reading of the ammeter is___________mA.

Consider a moving coil galvanometer (MCG):

A. The torsional constant in moving coil galvanometer has dimensions $\left[\mathrm{ML^2T^{-2}}\right]$ B. Increasing the current sensitivity may not necessarily increase the voltage sensitivity. C. If we increase number of turns $(\mathrm{N})$ to its double $(2\mathrm{N})$, then the voltage sensitivity doubles. D. MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer.

E. Current sensitivity of MCG depends inversely on number of turns of coil.

Choose the correct answer from the options given below:

Kirchhoff's second law is based on the law of conservation of

The figure shows currents in a part of electric circuit. Then current I is

Two identical galvanometers are converted into an ammeter and into milliammeter. For the same current, the value of shunt of the ammeter as compared to that of milliammeter is

In an ammeter, $0.25\%$ of main current passes through the galvanometer. If the resistance of the galvanometer is ' G ', the resistance of ammeter will be

Two identical galvanometers are converted into voltmeter and millivoltmeter. As compared to the series resistance of voltmeter, the series resistance of millivoltmeter will be

In an ammeter, $4\%$ of the main current is passing through the galvanometer, If shunt resistance is $5\ \Omega$, then resistance of galvanometer will be

The range of voltmeter of resistance ' $G$ ' $\Omega$ is ' $V$ ' volt. The resistance required to be connected in series with it in order to convert it into a voltmeter of range ' $nV$ ' volt, will be

A galvanometer has a coil of resistance $200\ \Omega$ with a full scale deflection at $20\ \mu\text{A}$. The value of resistance to be added to use it as an ammeter of range $(0 - 20)\text{ mA}$ is:

In an ammeter, $5\%$ of the main current passes through the galvanometer. If resistance of the galvanometer is $G$, the resistance of ammeter will be:

A galvanometer has a resistance of $50\ \Omega$ and it allows maximum current of $5\text{ mA}$. It can be converted into voltmeter to measure up to $100\text{ V}$ by connecting in series a resistor of resistance:

A galvanometer having coil resistance $10\ \Omega$ shows a full scale deflection for a current of $3\text{ mA}$. For it to measure a current of $8\text{ A}$, the value of the shunt should be:

A current of $200\ \mu\text{A}$ deflects the coil of a moving coil galvanometer through $60^\circ$. The current to cause deflection through $\frac{\pi}{10}$ radian is:

In the following circuit, the current flowing through zener diode is

In the following circuit, the current $I_3$ is

In the given circuit, the current in resistance R${}_{3}$ is:

The potential difference $(V_A - V_B)$ between the points A and B in the given part of the circuit

In the following electrical network, the value of I is

The potential difference $(V_A - V_B)$ between the points ' $A$ ' and ' $B$ ' in the given part of the circuit is

Potential difference between the points A and B is nearly

A potential divider circuit is shown in figure. The output voltage V$0$ is:

The current flowing through the $1\ \Omega$ resistor is $\frac{n}{10}$ A. The value of $n$ is _______.

In the following circuit, the reading in the ammeter is

The reading in the ideal voltmeter $(\text{V})$ shown in the given circuit diagram is:

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across $A$ and $B$, their readings are $V_1, V_2$ and $V_3$. Choose the correct option.

Two resistances of $100\ \Omega$ and $200\ \Omega$ are connected in series with a battery of $4\text{ V}$ and negligible internal resistance. A voltmeter is used to measure voltage across $100\ \Omega$ resistance, which gives reading as $1\text{ V}$. The resistance of voltmeter must be _______ $\Omega$.

In the given circuit, the current flowing through the resistance $20\ \Omega$ is $0.3\text{ A}$, while the ammeter reads $0.9\text{ A}$. The value of $R_1$ is _________ $\Omega$.

When a resistance of $200\ \Omega$ is connected in series with a galvanometer of resistance ' $G$ ', its range is ' $V$ '. To triple its range, a resistance of $2000\ \Omega$ is connected in series. The value of ' $G$ ' is

When a resistance of $100\ \Omega$ is connected in series with a galvanometer of resistance G, its range is V. To double its range a resistance of $1000\ \Omega$ is connected in series. The value of G is

A galvanometer may be converted into ammeter or a voltmeter. In which of the following cases the resistance of the device so obtained will be the largest?

A galvanometer has resistance $80\ \Omega$ and it is shunted with resistance $20\ \Omega$. If $20\%$ of the main current flows through galvanometer, then what is the value of main current?

When a galvanometer is shunted by a resistance ' $s$ ', its current capacity increases ' $n$ ' times. If the same galvanometer is shunted by another resistance ' $s_1$ ', its capacity will increase to ' $n_1$ ' times original current. The value of ' $n_1$ ' is

When a galvanometer is shunted by a resistance ' $S$ ', its current capacity increases ' $n$ ' times. If the same galvanometer is shunted by another resistance $S'$, its current capacity increases to $n'$. The value of $n'$ in terms of $n, S$ and $S'$ is

A galvanometer of resistance $100\ \Omega$ when connected in series with $400\ \Omega$ measures a voltage of upto $10\text{ V}$. The value of resistance required to convert the galvanometer into ammeter to read upto $10\text{ A}$ is $x \times 10^{-2}\ \Omega$. The value of $x$ is:

The deflection in moving coil galvanometer falls from 25 divisions to 5 divisions when a shunt of $24\ \Omega$ is applied. The resistance of galvanometer coil will be:

In the given figure an ammeter A consists of a $240\ \Omega$ coil connected in parallel to a $10\ \Omega$ shunt. The reading of the ammeter is ________ $\text{mA}$.

A galvanometer of resistance ' $G$ ' is shunted by resistance of 'S' ohm. To keep the main current in the circuit unchanged the resistance to be put in series with Galvanometer is

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $1/\theta$ vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is _________ $\times 10^{-1}\text{ A}/$ division. [The source has emf $2\text{ V}$]

Five current carrying conductors meet at point $\text{P}$. What is the magnitude and direction of the current in conductor $\text{PQ}$?

Five current carrying conductors meet at a point '$\text{O}$' as shown in figure. The magnitude and direction of the current in conductor '$OP$' is

Only $4\%$ of the total current in the circuit passes through a galvanometer. If the resistance of the galvanometer is $G$, then the shunt resistance connected to the galvanometer is

A galvanometer has resistance '$G$' and range '$V_g$'. How much resistance is required to read voltage upto '$V$' volt?

If only $1\%$ of total current is passed through a galvanometer of resistance '$G$' then the resistance of the shunt is

A galvanometer of resistance $G$ is shunted with a resistance of $10\%$ of $G$. The part of the total current that flows through the galvanometer is

The magnitude and direction of the current in the following circuit is :-

The current flowing through R${}_{2}$ is:

In the following circuit, the magnitude of current I1, is ___________ A.

Potential difference between the points P and Q is nearly

Potential difference between the points P and Q is nearly

Figure shows a part of an electric circuit. The potentials at points $a, b$ and $c$ are $30\text{ V}, 12\text{ V}$ and $2\text{ V}$ respectively. The current through the $20\ \Omega$ resistor will be,

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $\Omega$. The currents through the resistors R$4$ and R$5$ are I$4$ and I$5$ respectively. The values of I$4$ and I$5$ are:

A network of four resistances is connected to $9\text{ V}$ battery, as shown in figure. The magnitude of voltage difference between the points $\text{A}$ and $\text{B}$ is __________ $V$.

In the circuit diagram shown in figure given below, the current flowing through resistance $3\ \Omega$ is $\frac{x}{3}\text{ A}$. The value of $x$ is ___________

In the given circuit, the value of $\left|\frac{I_1+I_3}{I_2}\right|$ is _____________

Given below are two statements: One is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$.

Assertion A: For measuring the potential difference across a resistance of $600\ \Omega$, the voltmeter with resistance $1000\ \Omega$ will be preferred over voltmeter with resistance $4000\ \Omega$.

Reason R: Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance.

In the light of the above statements, choose the most appropriate answer from the options given below.

A cell of emf 90 V is connected across series combination of two resistors each of 100$\Omega$ resistance. A voltmeter of resistance 400$\Omega$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be:

As shown in the figure, the voltmeter reads $2\text{ V}$ across $5\ \Omega$ resistor. The resistance of the voltmeter is _________ $\Omega$.

When moving coil galvanometer (MCG) is converted into a voltmeter, the series resistance is '$n$' times the resistance of galvanometer. How many times that of MCG the voltmeter is now capable of measuring voltage?

A galvanometer of resistance $20\ \Omega$ gives a deflection of 5 divisions when $1\text{ mA}$ current flows through it. The galvanometer scale has 50 divisions. To convert the galvanometer into a voltmeter of range 25 volt, we should connect a resistance of

For designing a voltmeter of range $50\text{ V}$ and an ammeter of range $10\text{ mA}$ using a galvanometer which has a coil of resistance $54\ \Omega$ showing a full scale deflection for $1\text{ mA}$ as in figure.

(A) for voltmeter $R \approx 50\text{ k}\Omega$

(B) for ammeter $r \approx 0.2\ \Omega$

(C) for ammeter $r = 6\ \Omega$

(D) for voltmeter $R \approx 5\text{ k}\Omega$

(E) for voltmeter $R \approx 500\ \Omega$

Choose the correct answer from the options given below:

When a resistance of $5\ \Omega$ is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of $250\text{ mA}$, however when $1050\ \Omega$ resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is ____________ $\Omega$.

The current sensitivity of moving coil galvanometer is increased by $25\%$. This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be:

The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by $50\%$. The percentage change in voltage sensitivity of the galvanometer will be:

A student is provided with a variable voltage source $\mathrm{V}$, a test resistor $R_T = 10\ \Omega$, two identical galvanometers $G_1$ and $G_2$ and two additional resistors, $R_1 = 10\ M\Omega$ and $R_2 = 0.001\ \Omega$. For conducting an experiment to verify Ohm's law, the most suitable circuit is:

A galvanometer of resistance $200\ \Omega$ is to be converted into an ammeter. The value of shunt resistance which allows $3\%$ of the mains current through the galvanometer is equal to (nearly)

A 72 $\Omega$ galvanometer is shunted by a resistance of 8 $\Omega$. The percentage of the total current which passes through the galvanometer is:

The current I drawn out of the battery connected in the given circuit is: