Some equipotential surfaces of the magnetic scalar potential are shown in figure. Magnetic field at a point in the region is

Question

Some equipotential surfaces of the magnetic scalar potential are shown in figure. Magnetic field at a point in the region is (A) 10-4 T (B) 0.5× 10-4 T (C) 2 × 10-4 T (D) None of these

Tardigrade Admin · Accepted Answer

As is clear from figure <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c25c681ca6d1b012e32114f0cdb07ba1-.jpeg" /> Δ V = (0.2 - 0.1) 10-4 T m Δ x = x sin30°= 0.1 × (1/2) ∴ |B| = (Δ V/Δ x) = (0.1 ×10-4/0.1/2) = 2 × 10-4 T

Q. Some equipotential surfaces of the magnetic scalar potential are shown in figure. Magnetic field at a point in the region is

$1 0^{- 4} T$

$0.5 \times 1 0^{- 4} T$

$2 \times 1 0^{- 4} T$

None of these

As is clear from figure

$Δ V = (0.2 - 0.1) 1 0^{- 4} T m$
$Δ x = x s in 3 0^{\circ} = 0.1 \times \frac{1}{2}$
$∴ ∣ B ∣ = \frac{Δ V}{Δ x} = \frac{0.1 \times 1 0 ^{- 4}}{0.1/2}$
$= 2 \times 1 0^{- 4} T$

Q. Some equipotential surfaces of the magnetic scalar potential are shown in figure. Magnetic field at a point in the region is

10−4T

0.5×10−4T

2×10−4T

None of these

As is clear from figure ΔV=(0.2−0.1)10−4Tm Δx=xsin30∘=0.1×21​ ∴∣B∣=ΔxΔV​=0.1/20.1×10−4​ =2×10−4T

$1 0^{- 4} T$

$0.5 \times 1 0^{- 4} T$

$2 \times 1 0^{- 4} T$

As is clear from figure

$Δ V = (0.2 - 0.1) 1 0^{- 4} T m$
$Δ x = x s in 3 0^{\circ} = 0.1 \times \frac{1}{2}$
$∴ ∣ B ∣ = \frac{Δ V}{Δ x} = \frac{0.1 \times 1 0 ^{- 4}}{0.1/2}$
$= 2 \times 1 0^{- 4} T$