Question

If two coils placed next to each other have a mutual inductance of 5.0x10^-3 H, what emf is induced in one when the 2.00 A current in the other is switched off in 0.03 s?

a. 8.23 V
b. 4.90 V
c. 0.333 V
d. 0.963 V
e. 0.675 V

Answer 1

Answer:

$option \: c. \to \: 0.333 V \: is \: correct.$

Explanation:

$\\ given : \\ v = ? \\ t = 0.03s \\ L =5.0 \times 10^{-3} H \\ i = 2.0 A\\ then \: the \: inductance \: \boxed{L} \: i s\: given \: by \: the \: form : \\ \boxed{L} = \frac{vt}{i} \\ vt = Li \\ v = \frac{Li}{t} = \frac{5.0 \times 10^{-3} \times 2}{0.03} \\ \\ v = \frac{1.0\times {10}^{ - 2} }{3.0 \times {10}^{ - 2} } = \frac{1}{3} \\ v = 0.33 \: v$

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