Determine the current in 2 Ω resistor.

Question

Determine the current in 2 Ω resistor. (A) 1 A (B) 1.5 A (C) 0.9 A (D) 0.6 A

Tardigrade Admin · Accepted Answer

At steady state the capacitor will be frilly charged and thus there will be no current in the

10 Ω

resistance. So the effective circuit becomes

Net current from the

6 V

battery,

I = \frac{6}{( \frac{2 \times 3}{2 + 3} ) + \frac{2.8}{1}}

= \frac{6}{1.2 + 2.8} = \frac{3}{2} = 1.5 A

Between

A

and

B

, voltage is same in both resistances,

2 I_{1} = 3 I_{2}

where

I_{1} + I_{2} = I = 1.5

\Rightarrow 2 I_{1} = 3 (1.5 - I_{1})

\Rightarrow I_{1} = 0.9 A

Q. Determine the current in 2Ω resistor.