Question Details

Read the following statements and choose the correct option :
Assertion (A) : Electric current is a vector quantity.
Reason (R) : Electric current is a quantity having magnitude as well as direction.

Options

A

(A) is true, but (R) is false.

B

Both (A) and (R) are true, but (R) is not the correct explanation of (A).

C

(A) is false, but (R) is true.

D

Both (A) and (R) are true and (R) is the correct explanation of (A).

Show Answer

Correct Answer :

Option C

(A) is false, but (R) is true.

Solution :

The correct option is (A) is false, but (R) is true.

Analysis of Assertion (A):
Electric current has both magnitude and a specific direction (flowing from positive to negative potential in a circuit). However, electric current does not obey the vector laws of addition (such as the parallelogram law of vector addition). Instead, electric currents add up algebraically according to Kirchhoff's Current Law. Therefore, electric current is a scalar quantity (or a tensor), not a vector quantity.
Thus, Assertion (A) is false.

Analysis of Reason (R):
Electric current is defined as the rate of flow of electric charge. It possesses both magnitude (measured in amperes) and direction (the direction of flow of positive charge).
Thus, Reason (R) is true.

Since Assertion (A) is false and Reason (R) is true, the correct choice is (A) is false, but (R) is true.

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