The potential difference across a variable resistor is 11V and the current flowing through it is 0.4A. What is the present resistance of this variable resistor? Give your answer to 1 decimal place.

The resistance of the variable resistor will be 27.5 ohms

According to Ohm's law which states that the current flowing through a metallic conductor is directly proportional to the potential difference across its ends.

Mathematically, V = IR

V is the potential difference

I is the current

R is the resistance

Given the following parameters

V = 11V

I = 0.4A

Get the resistance of the variable resistor  

R = V/I

R = 11/0.4

R = 27.5 ohms

Hence the resistance of the variable resistor will be 27.5 ohms

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27.5Ω

Explanation:

Given parameters:

Potential difference in the circuit = 11V

Current in the circuit  = 0.4A

Unknown:

Resistance in the circuit = ?

Solution:

According to ohm's law;

   V = IR

V is the voltage

I is the current

R is the resistance

  Since the unknown is R, we find it;

        11  = 0.4 x R

         R  =   = 27.5Ω

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