A massless square loop of wire of resistance ' R ' supporting a mass… | MHT CET 2024 (4 May, Shift 1)

Q20MHT CET 2024 · 4 MAY · SHIFT 1Medium

Force on Current-Carrying Conductors

A massless square loop of wire of resistance ' $R$ ' supporting a mass ' M ' hangs vertically with one of its sides in a uniform magnetic field ' B ' directed outwards in the shaded region. A d.c. voltage ' V ' is applied to the loop. For what value of ' $V$ ' the magnetic force will exactly balance the weight of the supporting mass ' M '? (side of loop = L, $g =$ acceleration due to gravity)

Show answer and solution

Answer: (c)

Only the top side (length $L$ ) is in the field; forces on the vertical sides cancel.
Balance: $I L B = Mg$ with $I = \frac{V}{R}$
$\frac{V}{R}LB = Mg \Rightarrow V = \frac{MgR}{LB}$
So the answer is (c) $\frac{MgR}{LB}$ .

Report a mistake

More questions on Force on Current-Carrying Conductors

A 2A current carrying straight metal wire of resistance 1 Ω, resistivity 2 × 10⁻⁶ Ω m…JEE Main 2024 (5 Apr, Shift 1)
Three infinite straight wires A, B and C carry currents as shown in figure. The resultant…MHT CET 2024 (15 May, Shift 2)
Three long, straight parallel wires carrying currents are arranged as shown. The wire C…MHT CET 2024 (2 May, Shift 2)
A wire carrying a current I along the positive x -axis has length L. It is kept in a…NEET 2023
A long straight wire of length 2 m and mass 250 g is suspended horizontally in a uniform…NEET 2023
A straight wire AB of mass 40 g and length 50 cm is suspended by a pair of flexible leads…JEE Main 2023 (13 Apr, Shift 2)
Two wires 2 mm apart supply current to a 100 V, 1 kW heater. The force per metre between…MHT CET 2023 (10 May, Shift 2)
10 A current is flowing in two straight parallel wires in the same direction. Force of…MHT CET 2023 (9 May, Shift 2)

Force on Current-Carrying Conductors question from MHT CET 2024 (4 May, Shift 1)

More questions on Force on Current-Carrying Conductors