a coil of 40 ohm resistance, 100 turns and radius 6mm is connected to ammeter of resistance 160 ohm - Physics - Magnetism And Matter

Question

a coil of 40 ohm resistance, 100 turns and radius 6mm is
connected to ammeter of resistance 160 ohm coilis placed
perpendicular to the magnetic field when coil is taken out of the
field 32 microcoulomb charge flows through it the magnetic flux
density is:

6 55T
5 66T
2 55T
0 566T
0 0566T

Vijay Yadav · Accepted Answer

Hello,

As we know

induced emf is given

$ξ = \frac{Δ Φ}{Δ t} \Rightarrow IR= \frac{Δ (BA)}{Δ t} \Rightarrow \frac{Δ Q}{Δ t} \cdot R = \frac{Δ (B \cdot A)}{Δ t} = Δ B \cdot A \Rightarrow Δ B = \frac{Δ Q \cdot R}{A}$

Given that ΔQ = 32 × 10^–6C

R = 40 + 160 = 200 ohm

$A = η \cdot (π r^{2}) = 100 \times 3.14 \times (6 \times 10^{- 3})^{2} = 100 \times 3.14 \times 36 \times 10^{- 6} So Δ B = \frac{32 \times 10^{- 6} \times 200}{100 \times 3.14 \times 36 \times 10^{- 6}} = 0.566 T.$

56

a coil of 40 ohm resistance, 100 turns and radius 6mm is connected to ammeter of resistance 160 ohm. coilis placed perpendicular to the magnetic field. when coil is taken out of the field 32 microcoulomb charge flows through it. the magnetic flux density is: 6.55T 5.66T 2.55T 0.566T 0.0566T

a coil of 40 ohm resistance, 100 turns and radius 6mm is connected to ammeter of resistance 160 ohm. coilis placed perpendicular to the magnetic field. when coil is taken out of the field 32 microcoulomb charge flows through it. the magnetic flux density is:

6.55T

5.66T

2.55T

0.566T

0.0566T