Question

A resistor of resistance $ 10\, \Omega $ is connected across a $ 20\, V $ battery. Calculate the current flowing through the resistor.

• A. \(1\, A\)
• B. \(2\, A\)
• C. \(0.5\, A\)
• D. \(4\, A\)

Hint:

Tip: Always check units and apply Ohm’s law correctly.

Answer 1

The Correct Option is B

To determine the current through the resistor, Ohm's Law is applied. Ohm's Law is expressed as:

Ohm's Law: V = IR

In this equation:

• V represents the voltage across the resistor, measured in volts.
• I denotes the current flowing through the resistor, measured in amperes.
• R signifies the resistance of the resistor, measured in ohms.

The objective is to calculate I. Rearranging Ohm's Law to isolate I yields:

\( I = \frac{V}{R} \)

The provided values are:

• \( V = 20\,V \)
• \( R = 10\,\Omega \)

Substituting these values into the derived formula:

\( I = \frac{20\,V}{10\,\Omega} \)

Performing the calculation:

\( I = 2\,A \)

Therefore, the current traversing the resistor is 2 amperes.