1
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1

The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 $$\times$$ 106 A/m2. The current through the outer portion of the wire between radial distances $${r \over 2}$$ and r is x$$\pi$$ A; where x is __________.

2
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-1

In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be $$\sqrt {{x \over 2}}$$. The value of x is __________.

3
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

A cell, shunted by a 8 $$\Omega$$ resistance, is balanced across a potentiometer wire of length 3 m. The balancing length is 2 m when the cell is shunted by 4 $$\Omega$$ resistance. The value of internal resistance of the cell will be ____________ $$\Omega$$.

4
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

The current density in a cylindrical wire of radius 4 mm is 4 $$\times$$ 106 Am$$-$$2. The current through the outer portion of the wire between radial distances $${R \over 2}$$ and R is ____________ $$\pi$$ A.

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