Chapter 35, Problem 53A

How many $4\text{-}\Omega$ resistors must be connected in parallel to create an equivalent resistance of $0.5\Omega$?

To determine

The number of resistance for equivalent resistance.

Answer to Problem 53A

The number of resistance for equivalent resistance is $8$ .

Explanation of Solution

Given info:

Resistance of one resistor, $R=4\Omega$

Equivalent resistance of parallel connection, $R_p=0.5\Omega$

Formula used:

The expression to calculate the number of resistance is,

  $n=\frac{R}{R_p}$

Calculation:

Substitute the given values in the above expression.

  $\begin{array}{c}n=\frac{4\Omega }{0.5\Omega }\\ =8\end{array}$

Conclusion:

The number of resistance for equivalent resistance is $8$ .