An ideal solenoid of cross-sectional area 10-4 m 2 has 500 turns per metre. At the centre of this solenoid, another coil of 100 turns is wrapped closely around it. If the current in the coil changes from 0 to 2 A in 3.14 ms, the emf developed in the second coil is

Question

An ideal solenoid of cross-sectional area 10-4 m 2 has 500 turns per metre. At the centre of this solenoid, another coil of 100 turns is wrapped closely around it. If the current in the coil changes from 0 to 2 A in 3.14 ms, the emf developed in the second coil is (A) 1 mV (B) 2 mV (C) 3 mV (D) 4 mV

Tardigrade Admin · Accepted Answer

M=μ0 n1 n2 A =4 π × 10-7(500)(100) × 10-4 ε=-(M d i/d t)=(M(2)/3.14)=4 mV

Q. An ideal solenoid of cross-sectional area $1 0^{- 4} m^{2}$ has $500$ turns per metre. At the centre of this solenoid, another coil of $100$ turns is wrapped closely around it. If the current in the coil changes from $0$ to $2 A$ in $3.14 m s$ , the emf developed in the second coil is

1 mV

2 mV

3 mV

4 mV

$M = μ_{0} n_{1} n_{2} A$
$= 4 π \times 1 0^{- 7} (500) (100) \times 1 0^{- 4}$
$ε = - \frac{M d i}{d t} = \frac{M ( 2 )}{3.14} = 4 mV$

Q. An ideal solenoid of cross-sectional area 10−4m2 has 500 turns per metre. At the centre of this solenoid, another coil of 100 turns is wrapped closely around it. If the current in the coil changes from 0 to 2A in 3.14ms, the emf developed in the second coil is