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Q.

Consider the situation shown in below figure. The wires $P_{1} Q_{1}$ and $P_{2} Q_{2}$ , each of resistance 2 ohm are made to slide on the rails with the same speed $5 c m / s$ . Find the electric current in the $19 Ω$ resistor if both the wires move towards right.

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a

1.8 mA

b

0.6 mA

c

0.1 mA

d

1.2 mA

answer is C.

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Detailed Solution

The emf induced across each of the wire

$e = B v l = 1 \times 0.05 \times 0.04 = 2 m V$

The total emf, $e_{n e t} = 2 m V a n d r = \frac{2 \times 2}{2 + 2} = 1 Ω$

The current, $i = \frac{e_{n e t}}{R} = \frac{2}{19 + 1} = 0.1 m A$

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Consider the situation shown in below figure. The wires P1Q1 and P2Q2 , each of resistance 2 ohm are made to slide on the rails with the same speed 5 cm/s . Find the electric current in the 19 Ω resistor if both the wires move towards right.