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Standard XII

Physics

Parallel Combination of Cells

Two resistors...

Question

Two resistors of $10 ω$ and $20 ω$ and an ideal inductor of 10 H are connected to a 2 V battery as shown. The key is inserted at time $t = 0$ . The initial $(t = 0)$ and final $(t \to \infty)$ currents through battery are

\frac{1}{15} A, \frac{1}{10} A

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\frac{1}{10} A, \frac{1}{15} A

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\frac{2}{15} A, \frac{1}{10} A

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\frac{1}{15} A, \frac{2}{25} A

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Solution

The correct option is A $\frac{1}{15} A, \frac{1}{10} A$
At t = 0 inductor behave like open circuit
current $I_{0} = \frac{2}{30}$
$= \frac{1}{15} A$
at $t \to \infty$ inductor behave like short circuit. Current through $10 Ω$ resister is zero.
$I = \frac{2}{20} = \frac{1}{10}$

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Two resistors of 10ω and 20ω and an ideal inductor of 10 H are connected to a 2 V battery as shown. The key is inserted at time t=0. The initial (t=0) and final (t→∞) currents through battery are

The correct option is A 115A,110AAt t = 0 inductor behave like open circuit current I0=230=115Aat t→∞ inductor behave like short circuit. Current through 10Ω resister is zero.I=220=110

Two resistors of $10 ω$ and $20 ω$ and an ideal inductor of 10 H are connected to a 2 V battery as shown. The key is inserted at time $t = 0$ . The initial $(t = 0)$ and final $(t \to \infty)$ currents through battery are

The correct option is A $\frac{1}{15} A, \frac{1}{10} A$
At t = 0 inductor behave like open circuit
current $I_{0} = \frac{2}{30}$
$= \frac{1}{15} A$
at $t \to \infty$ inductor behave like short circuit. Current through $10 Ω$ resister is zero.
$I = \frac{2}{20} = \frac{1}{10}$