Chapter 4, Problem 1P

What is the voltage across a $220\Omega$ resistor if the current through it is 5.6 mA?

To determine

The voltage across a $220\Omega$ resistor.

Answer to Problem 1P

The voltage across the resistor is $V=1.232\text{ V}$.

Explanation of Solution

Given:

Value of the resistor is $R=220\Omega$ and the current through the resistor is $I=5.6\text{ mA}$.

Concept Used:

This problem can be solved with the help of Ohm's law. The law can be mathematically expressed as,

  $\begin{array}{l}V=IR(1)\\ \text{Where,}\\ V=\text{Voltage across a resistor}\\ I=\text{Current through the resistor}\\ R=\text{Resistance of the resistor}\end{array}$

It is to be noted that $1\text{ mA}={10}^{-3}\text{ A}$.

Calculation:

Using equation (1), the value of the voltage across the resistor becomes

  $\begin{array}{c}V=(5.6\times {10}^{-3})(220)\\ =1.232\text{ V}\end{array}$

Conclusion:

Therefore, the voltage across the resistor is $V=1.232\text{ V}$.