Question

Assertion :A square loop is placed in $x-y$ plane as shown in figure. Magnetic field in the region is $\overrightarrow{B}=-B_{0}x\hat{k}$. The induced current in the loop is anticlockwise. Reason: If inward magnetic field from such a loop increases, then current should be anticlockwise

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is D Assertion is incorrect but Reason is correct

Due to non-uniform magnetic field (a function of $x$) magnetic flux passing through the loop obtained by integration.

But that remains constant with time.

Hence, $\frac{d\varphi }{dt}=0$ or $e=0$

Magnetic field is along $-\hat{k}$ direction or in $⨂$ magnetic is increasing. Hence induced current should produce $⨀$ magnetic field. Or induced current should be anti-clockwise.