There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of L = 10 c m . The rails are connected, at one of their ends to an ideal battery of EMF 0.5 V ,

Question

There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of $L = 10 c m$ . The rails are connected, at one of their ends to an ideal battery of EMF $0.5 V$ , as shown in the figure. The system is placed in a vertically downward and perpendicular magnetic field of magnetic induction $B = 1 T$ . A metal rod of resistance $R = 10 Ω$ is placed perpendicularly on the rails. The rod and rails are frictionless. The magnitude of force, which is to be exerted on the rod in order to move it with a constant speed of $1 m s^{- 1}$ in the direction shown, is

Options:

Answer:

B

Solution:

$ε_{i n} = B \cdot L \cdot V = 1 \times 10 \times 10^{- 2} \times 1$

$ε_{i n} = 0.1 V$

$I = \frac{0.5 - 0.1}{10} = 0.04$

$|\vec{F}| = 1 \times 0.04 \times 1 0^{- 2} \times 10$

$= 0.4 \times 10^{- 2}$

$| \vec{F} | = 4 \times 1 0^{- 3} N$

TestHub · Accepted Answer

ε i n = B ⋅ L ⋅ V = 1 × 10 × 10 – 2 × 1 ε i n = 0.1 V I = 0.5 - 0.1 10 = 0.04 F → = 1 × 0.04 × 1 0 – 2 × 10 = 0.4 × 10 – 2 | F → | = 4 × 1 0 – 3 N

Physics - EMI/AC Question with Solution | TestHub

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