- #1

Jahnavi

- 848

- 102

## Homework Statement

## Homework Equations

## The Attempt at a Solution

I am assuming that the given value of voltage applied is an RMS value .

Same voltage is applied across both the branches .

In the upper branch the net resistance is the sum of capacitive reactance of the capacitor and resistance of the resistor .

Using Impedance triangle , the net reactance is 100√2 Ohms and the net applied voltage across the branch is ahead of the voltage across the resistor by a phase π/4 . Hence voltage across the resistor is 20/√2 or 10√2 volts i.e option 3) .

This is also the given answer .

But I think option 2) is also correct . The net resistance of the upper branch is 100√2 Ohms and that of the lower branch is 50√2 Ohms .

The resistances in the two branches are in parallel .

The net resistance across the voltage source is (100√2)(50√2)/(100√2 + 50√2) = 10000/(150√2) Ohms

Current in the circuit = 0.3√2 Ohms . This makes option 2) also correct .

Is option 2) also correct along with option 3) ?