Question

I = 30A and R = 30; what is V? A. 900v B.90v C.10v D.0.1v

Answer 1

Answer:

$V = 900\; {\rm V}$ for a resistor where $I = 30\; {\rm A}$ and $R = 30\; {\rm \Omega}$.

Explanation:

By Ohm's Law, if the electric resistance of a resistor is $R$ and the current going through that resistor is $I$, the voltage across that resistor would be $V = I\, R$.

Note that electric resistance is typically measured in Ohms, where $1\; {\rm \Omega} = 1\; {\rm V \cdot A^{-1}}$.

Given that $I = 30\; {\rm A}$ and $R = 30\; {\rm \Omega}$ for the resistor in this question, apply the formula $V = I\, R$ to find the voltage $V$ across this resistor:

$\begin{aligned} V &= I\, R \\ &= 30\; {\rm A} \times 30\; {\rm \Omega} \\ &= 30\; {\rm A} \times 30\; {\rm V \cdot A^{-1}} \\ &= 900\; {\rm V} \end{aligned}$.