Question

Find the voltage in given figure

Answer 1

Given :

• R 1 = 4 Ω
• R 2 = 6 Ω
• V = 50 V

To find :

• Potential difference across 6Ω resistor

How to solve :

• First we need to find the equivalent resistance of the combination
• Find the net current flowing through the circuit
• Then , find the PD across 6 Ω resistor

Solution :

R 1 are R 2 are connected in series with each other .

Equivalent resistance for n no of resistors connected in series is given by the formula ,

➜ Rs = R 1 + R 2 ... + R n

Hence ,

➜ Rs = R 1 + R 2

➜ Rs = 4 + 6

➜ Rs = 10 Ω

Now , let us find the net current flowing through the  circuit .

By applying ohm's law ,

➜ I = V / Rs

➜ I = 50 / 10

➜ I = 5 A

We know that , in series combination the current flowing through both the  resistors is the same , but the potential difference across both the resistors is different .

Now , let us find the PD across 6 Ω resistor

➜ V 2 = I x R 2

➜ V 2 = 5 x 6

➜ V 2 = 30 V

The potential difference across 6 Ω resistor is 30 V