Question

2. A battery of 6 V is connected to a coil of inductance 10 henry and
resistance 0.5 ohm. Calculate the time taken for the current to reach 6A.
[Ans: 13.86 second]​

Answer 1

Answer:

We know

i=

R

V

⎝

⎜

⎜

⎛

1−e

L

Rt

⎠

⎟

⎟

⎞

i

max

=(

R

V

)

2

i

max

=

2R

V

So,

⇒

2R

V

=

R

V

⎝

⎜

⎜

⎛

1−e

L

Rt

⎠

⎟

⎟

⎞

⇒

2

1

=1−e

−

L

Rt

⇒e

−

L

Rt

=1/2⇒t=

R

L

ln(2)

Hence,

t=(

2RL

0.5

)ln2=0.08668