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Q.

When a 4 V battery is connected across an unknown resistor there is a current of 100 mA in the circuit. The value of the resistance of the resistor is:

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a

4Ω

b

40Ω

c

400Ω

d

0.4Ω

answer is B.

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Detailed Solution

Concept: This issue should be resolved by applying Ohm's law, the equation that describes the relationship between voltage, current, and resistance. We will use the voltage and current data as they are presented in order to determine the unknown resistance.
We have the following information based on the information provided.
Battery emf with a circuit connected, V=4V
The circuit's current, I= 100 mA.
V=IR is the equation we are employing to tackle this issue.
I stands for current, V for voltage (emf) , and R for resistance.
Question Image

Question Image

This equation illustrates Ohm's law, which links a circuit's voltage, current, and resistance.
Now change the values in the aforementioned equation.

4 = 100 \times 10^{- 3} \times R

R = \frac{4}{100 \times 10^{- 3}}

As a result, the resistor linked to the circuit has a resistance of 40Ω.
Hence, option 2 is correct.

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