what is the potential difference across the 10 ω resistor?

 

what is the potential difference across the 10 ω resistor?

what is the potential difference across the 10 ω resistor?

what is the potential difference across the 10 ω resistor?

Solution:

The given circuit is a series circuit.

Properties of a series circuit :

The current remains the same in all resistors

The potential difference varies for each resistor depending on current.

So Since the current remains constant, we can calculate the current for the whole circuit and then calculate the potential difference.

According to reference :

Potential Difference = 2 V

Current = ?

Net Effective Resistance = 10 Ω + 5 Ω = 15 Ω

So According to Ohm's Law,

Potential Difference ( V ) = Current ( I ) × Resistance ( R )

=> Current ( I ) = Potential Difference ( V ) / Resistance ( R )

=> Current ( I ) = 2 / 15

=> Current ( I ) = 0.13 A

Hence the current in the series circuit is 0.13 A.

Now The current acting on both resistors will be 0.13 A. So now we must find the Potential Difference acting on the resistors.

So V = I × R

We need to calculate Potential Difference in Resistor 10 Ω .

=> V = 0.13 A × 10 Ω

=> V = 1.3 V

Hence the potential difference at the 10 Ω resistor is 1.3 V.