Question

Find the value of x in the following figure.
110°
X
m​

Answer 1

Answer:

Answer:

\huge \green{\frac{W_2 - W_1}{5Rt} }

5Rt

W

2

−W

1

Explanation:

When magnetic flux through a coil Changes then

there is a induced Emf in coil , magnitude of emf is given by

\begin{gathered} \epsilon = | \frac{d\overrightarrow{B}}{dt} | \\ and \\ \epsilon _{avg} = \frac{ \Delta \overrightarrow{B}}{ \Delta t} = \frac{W_2 - W_1}{t} \end{gathered}

ϵ=∣

dt

d

B

∣

and

ϵ

avg

=

Δt

Δ

B

=

t

W

2

−W

1

Now net resistance of coil = R + 4R = 5R

We have induced emf , resistance and need induced current So use Ohm's Law

\begin{gathered}I _{avg}= \frac{ \epsilon _{avg}}{R} \\ \\ = \frac{W_2 - W_1}{t(5R)} \\ \\ = \frac{W_2 - W_1}{5Rt} \end{gathered}

I

avg

=

R

ϵ

avg

=

t(5R)

W

2

−W

1

=

5Rt

W

2

−W

1

The direction of induced current is such that it opposes change in magnetic flux .