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A current of 0.20 A passes through a 3.0 resistor. The resistor is connected in series with a 6.0 V
battery and an unknown resistor. What is the resistance value of the unknown resistor?

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By applying Ohm's law, the resistance value of the unknown resistor is equal to 27.0 Ohms.

What is Ohm's law?

Ohm's law states that at constant temperature, the current flowing in an electrical circuit is directly proportional to the voltage applied across the two points and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by this formula;

V = IR

Where;

  • V represents voltage measured in voltage.
  • I represents current measured in amperes.
  • R represents resistance measured in ohms.

How to calculate the unknown resistor?

By applying Ohm's law, we would determine the resistance of the battery as follows:

V = IR

R = V/I

R = 6/0.2

Resistance, R = 30.0 Ohms.

Now, we can calculate the resistance value of the unknown resistor:

Unknown resistance = 30.0 - 3.0

Unknown resistance = 27.0 Ohms.

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