A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the emf induced in coil will be

1.158 V

0.58 V

0.29 V

5.8 V

Solution

0.58 V

Here: n=4000, B=0.5×10^-4 wb/m²

$Rate of rotation of coil = 1800 rev / \min = \frac{1800}{60} = 30 rev / \sec w = 2 πf = 2 π \times 30 = 60 π rad / s, r = 7 cm = 0.07 m Now area of coil A = {πr}^{2} = π \times {(0.07)}^{2} = 49 π \times 10^{- 4} m^{2} Now the maximum energy induced is e = BAnω = 0.5 \times 10^{- 4} \times 49 π \times 10^{- 4} \times 4000 \times 60 π = 0.58 V$

For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the emf induced in coil will be

1.158 V

0.58 V

0.29 V

5.8 V

Some More Questions From Electric Charges and Fields Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the emf induced in coil will be 1.158 V 0.58 V 0.29 V 5.8 V

Some More Questions From Electric Charges and Fields Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A circular coil of mean radius of 7 cm and having 4000 turns is rotated at the rate of 1800 revolutions per minute in the earth's magnetic field (B=0.5 gauss), the emf induced in coil will be

1.158 V

0.58 V

0.29 V

5.8 V