Question

Which statement is true according to Ohm’s law?
A) Current will increase by increasing voltage in circuit
B) Resistance will increase by increasing voltage in circuit
C) Resistance will increase by increasing current in circuit
D) Resistance and current both will increase by increasing voltage

Answer 1

Hint: We know that Ohm’s law states that the voltage across a current-carrying conductor is directly proportional to the current flowing in the current. So, the mathematical equation of the ohm’s law is $V = I \cdot R$ , where, $V$ is the voltage, $I$ is the current and $R$ is the resistance of the conductor, which is fixed for a given temperature of the conductor. Now, we can get our answer by analyzing all the options.

Formula used:
Ohm’s law states that $V = I \cdot R$ , where, $V$ is the voltage, $I$ is the current and $R$ is the resistance of the conductor.

Complete step by step solution:
We know that Ohm’s law states that voltage is proportional to current. Hence,
 $V = I \cdot R$ ,
where $V$ is the voltage, $I$ is current and $R$ is the resistance of the conductor, which is fixed for a given temperature of the conductor. Now, by analyzing all the options given in the question one by one, we will get our answer.

Option A: Now, this option states that the current will increase by increasing voltage in the circuit. Now, as we have discussed above, according to ohm’s law $I \propto V$ , So, this means if the current will increase the voltage will increase simultaneously.
Hence, it is the correct option.

Option B: Now, this option states that the resistance will increase by increasing voltage in the circuit. As discussed above, the resistance of a conductor is fixed for a given temperature. So, the resistance will not increase if we increase the voltage of the circuit.
Hence, this option is incorrect.

Option C: Now, this option states that the resistance will increase by increasing the current in the circuit. As discussed above, the resistance of a conductor is fixed for a given temperature. So, the resistance will not increase if we increase the current in the circuit.
Hence, this option is incorrect.

Option D: Now, this option states that the resistance and current both will increase by increasing voltage in the circuit. As discussed above current increases with the increase of the voltage but the resistance of a conductor is fixed for a given temperature. So, the resistance will not increase if we increase the voltage in the circuit.
Hence, this option is incorrect.

So, the correct answer is option (A).

Note: We know that resistance is constant for a given temperature according to ohm’s law. So, options B, C, and D are incorrect. Now, as the current is directly proportional to the voltage of the circuit. So, the current will increase with the increase in the voltage of the circuit.