Question

The instantaneous magnetic flux o in in a circuit is
6=4ť – 4t+1
The total resistance of circuit is 10 2. At tes the
Parall
1
induced current in circuit is
(a) 0
(b) 0.6
(c) 0.4
(d) 0.2​

Answer 1

Answer:

0.6 is the right answer

Answer 2

Answer:

The induced current in the circuit is $0$

The correct option is Option (a)

Explanation:

Given: circuit

To find: induced current in the circuit

Solution:

The induced potential is given by

$\varepsilon=-\frac{\mathrm{d} \phi}{\mathrm{dt}}=-\frac{\mathrm{d}}{\mathrm{dt}}\left(4 \mathrm{t}^{2}-4\mathrm{t}+1\right)$

$=(2 \times 4 t-4)=4-8 t$

At $\mathrm{t}=0.5 \mathrm{~s}$

$\varepsilon=4-8 \times 0.5=4-4$

$=0\mathrm{~V}$

So, the induced current will be

$\mathrm{I}=\frac{\varepsilon}{\mathrm{R}}=\frac{0}{10}=0 \mathrm{~A}$