The current following through an inductance coil of self inductance 6 mH at different time instants is as shown. The emf induced between t =20 s and t =40 s is nearly

Question

The current following through an inductance coil of self inductance 6 mH at different time instants is as shown. The emf induced between t =20 s and t =40 s is nearly (A) 2 × 10-2 V (B) 3 × 10-4 V (C) 4 × 10-3 V (D) 30 × 102 V

Tardigrade Admin · Accepted Answer

|e|=L (d I/d t) |e|=6 × 10-3[(I2-I1/t2-t1)] |e|=6 × 10-3[(1/40-20)] e=3 × 10-4 V .

Q. The current following through an inductance coil of self inductance $6 m H$ at different time instants is as shown. The emf induced between $t = 20 s$ and $t = 40 s$ is nearly

$2 \times 1 0^{- 2} V$

$3 \times 1 0^{- 4} V$

$4 \times 1 0^{- 3} V$

$30 \times 1 0^{2} V$

$∣ e ∣ = L \frac{d I}{d t}$
$∣ e ∣ = 6 \times 1 0^{- 3} [\frac{I _{2} - I _{1}}{t _{2} - t _{1}}]$
$∣ e ∣ = 6 \times 1 0^{- 3} [\frac{1}{40 - 20}]$
$e = 3 \times 1 0^{- 4} V .$

Q. The current following through an inductance coil of self inductance 6mH at different time instants is as shown. The emf induced between t=20s and t=40s is nearly

2×10−2V

3×10−4V

4×10−3V

30×102V