For the circuit shown, the value of current at time $t=3.2 \mathrm{~s}$ will be \_\_\_\_ A. [Voltage distribution $\mathrm{V}(\mathrm{t})$ is shown by Fig.(1) and the circuit is shown in Fig.(2)]

JEE Main · 2021 · 27 Jul 2021 · Shift 2 · Current Electricity

For the circuit shown, the value of current at time

t = 3.2 s

will be
____ A.

[Voltage distribution

V (t)

is shown by Fig.(1) and the circuit is shown in Fig.(2)]

Answer: 1

Between

t = 3

s and

t = 4

s the source voltage rises linearly from

5

V to

10

V, a slope of

5

V s

^{- 1}

, so

V (3.2) = 5 + 5 \times 0.2 = 6 V

The

5

V cell is connected to oppose the source, so the loop equation across the

1 Ω

resistor gives

I = \frac{V ( t ) - 5}{R} = \frac{6 - 5}{1} = 1 A

The current at

t = 3.2

s is

1

JEE Main · 2021 · 27 Jul 2021 · Shift 2 · Integer answer