Question

Battery voltage =12v. The current in the circuit is 0.5A. the resistance R must be

Answer 1

Given data:

`\begin{gathered} V=12\text{ V} \\ I=0.5\text{ A} \end{gathered}`

The Ohm's law is given as,

`V=IR`

Here, V is the voltage, I is the current and R is the resistance.

Rearranging the above equation, the expression for the resistance is given as,

`R=(V)/(I)`

Substituting the known values,

`\begin{gathered} R=\frac{12\text{ V}}{0.5\text{ A}} \\ =24\text{ }\Omega \end{gathered}`

Therefore, the value of resistor R is 24 Ω. Hence, option (a) is the correct choice.