A resistor of resistance 15\,\Omega is connected across a direct-current source. If a stea… — JAMB UTME

A resistor of resistance $15\,\Omega$ is connected across a direct-current source. If a steady current of $0.80\,\text{A}$ flows through the resistor, what is the potential difference across its terminals?

$12\,\text{V}$ Answer
B
$18.75\,\text{V}$
C
$0.053\,\text{V}$
D
$14.2\,\text{V}$

Answer

The potential difference across the terminals of the resistor is

12\,\text{V}

According to Ohm's law, the potential difference

V

across a resistor is equal to the product of the electric current

I

passing through it and its resistance

R

(

V = I \times R

). Substituting

I = 0.80\,\text{A}

and

R = 15\,\Omega

yields

V = 12\,\text{V}

Step-by-Step Solution

Identify the given physical quantities

Resistance

R = 15\,\Omega

and electric current

I = 0.80\,\text{A}

These are the given parameters needed to find potential difference.

Apply Ohm's Law formula for potential difference

V = I \times R

Ohm's law states that potential difference is directly proportional to current for a ohmic resistor of constant resistance.

Substitute the values and calculate

V = 0.80\,\text{A} \times 15\,\Omega = 12\,\text{V}

Multiplying current by resistance yields potential difference in volts.

Key Concept

Ohm's Law (

V = IR

)

Question

Answer

Step-by-Step Solution

Key Concept

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