A circular coil of diameter 21 cm is placed in a magnetic field of induction 10-4 T. The magnitude of flux linked with coil when the plane of coil makes an angle 30° with the field is

Question

A circular coil of diameter 21 cm is placed in a magnetic field of induction 10-4 T. The magnitude of flux linked with coil when the plane of coil makes an angle 30° with the field is (A)  1.44× 10-6 Wb  (B)  1.732× 10-6 Wb  (C)  3.1× 10-6 Wb  (D)  4.2× 10-6 Wb

Tardigrade Admin · Accepted Answer

Magnetic flux, φ=∫ vecB ⋅ d A=B A cos θ, where θ is angle between normal to the area d A with magnetic field B. Here, θ=(90°-30°) 60° and φ=10-4 × π[(21/2) × 10-2]2 × cos 60° =1.732 × 10-6 Wb

Q. A circular coil of diameter $21 c m$ is placed in a magnetic field of induction $1 0^{- 4} T$ . The magnitude of flux linked with coil when the plane of coil makes an angle $3 0^{\circ}$ with the field is

$1.44 \times 1 0^{- 6} Wb$

$1.732 \times 1 0^{- 6} Wb$

$3.1 \times 1 0^{- 6} Wb$

$4.2 \times 1 0^{- 6} Wb$

Q. A circular coil of diameter 21cm is placed in a magnetic field of induction 10−4T. The magnitude of flux linked with coil when the plane of coil makes an angle 30∘ with the field is

1.44×10−6Wb

1.732×10−6Wb

3.1×10−6Wb

4.2×10−6Wb

Magnetic flux, ϕ=∫B⋅dA=BAcosθ, where θ is angle between normal to the area dA with magnetic field B. Here, θ=(90∘−30∘) 60∘ and ϕ=10−4×π[221​×10−2]2×cos60∘ =1.732×10−6Wb

Q. A circular coil of diameter $21 c m$ is placed in a magnetic field of induction $1 0^{- 4} T$ . The magnitude of flux linked with coil when the plane of coil makes an angle $3 0^{\circ}$ with the field is

$1.44 \times 1 0^{- 6} Wb$

$1.732 \times 1 0^{- 6} Wb$

$3.1 \times 1 0^{- 6} Wb$

$4.2 \times 1 0^{- 6} Wb$