Question

What is the resistance in a circuit that carries a 0.75 A current when powered by a 1.5 V battery? A.) 0.50 Ω B.) 1.1 Ω C.) 2.0 Ω D.) 2.3 Ω

Answer 1

It is 2.0 Ω because R=V/I so 1.5V/.75A = 2Ω

Answer 2

Answer: Option (C) is the correct answer.

Explanation:

According to ohm's law, current flowing through a circuit is directly proportional to the voltage over resistance.

Mathematically,        $I = \frac{V}{R}$

where,         I = current

                   V = voltage

                   R = resistance

Therefore, it is given that current is 0.75 A and voltage is 1.5 V. Thus, calculate the resistance as follows.

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

or,                     $R = \frac{V}{I}$

                                    = $\frac{1.5 V}{0.75 A}$

                                    = $\frac{15 V \times 10}{75 A}$

                                    = 2 ohms

Hence, we can conclude that resistance in the circuit is 2 ohms.