Question

Given a circuit consisting of a DC battery of voltage 200 volts connected to a single resistor. If the electric current through the resistor is 50000 mA then which of these is the resistance of the resistor in SI units?A)16B)24C)20D)4E)12

Answer 1

Given:

The battery voltage, V=200 V

The current through the resistor, I=50000 mA=50000×10⁻³ A

To find:

The resistance of the resistor.

Explanation:

From Ohm's law, the voltage across a circuit is directly proportional to the current through the circuit.

Thus the voltage across the resistor is given by,

$V=IR$

On substituting the known values in the above equation,

$\begin{gathered} 200=50000\times10^{-3}\times R \\ \Rightarrow R=\frac{200}{50000\times10^{-3}} \\ =4\text{ }\Omega \end{gathered}$

Final answer:

The resistance of the resistor is 4 Ω