Question

When a 40V battery is connected across an unknown resistor there is a current of 100 mA in the circuit. Find the value of the resistance of the resistor.

Answer 1

Answer:

R = 400 ohms

Explanation:

Given that,

Voltage of the battery, V = 40 V

Current in the unknown resistor, $I=100\ mA$

Let R is the resistance of the resistor. It can be calculated using Ohm's law. it gives the relationship between the voltage, resistance and current.

$R=\dfrac{V}{I}$

$R=\dfrac{40\ V}{10^{-1}\ A}$

R = 400 ohms

So, the value of the resistance of the resistor is 400 ohms. Hence, this is the required solution.

Answer 2

Answer:

R = 400 ohms

Explanation:

Voltage of the battery, V = 40 V

Current in the unknown resistor I = 100mA

Let R is the resistance of the resistor. It can be calculated using Ohm's law it gives the relationship between the voltage, resistance and current.

R = V/I

R = 40 V/10-¹A

R = 400 Ohm's

So, the value of the resistance of the resistor is 400 Ohm's. Hence, this is the required solution.