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3 years ago

Match each chemical name with the correct chemical formula.

Physics

1 answer:

pochemuha3 years ago

4 0

Is there any chemical names listed ?

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A circular loop of radius 13 cm carries a current of 13 A. A flat coil of radius 0.94 cm, having 58 turns and a current of 1.9 A

telo118 [61]

Answer:

$6.28\times 10^{-5}\ \text{T}$

$1.92\times 10^{-6}\ \text{Nm}$

Explanation:

$\mu_0$ = Vacuum permeability = $4\pi 10^{-7}\ \text{H/m}$

$I_l$ = Current in circular loop = 13 A

$r_l$ = Radius of circular loop = 13 cm

$N$ = Number of turns = 58

$r_c$ = Radius of coil = 0.94 cm

$I_c$ = Current in coil = 1.9 A

$\theta$ = Angle between loop and coil = $90^{\circ}$

Magnitude of magnetic field in circular loop

$B_l=\dfrac{\mu_0I_l}{2r_l}\\\Rightarrow B_l=\dfrac{4\pi 10^{-7}\times 13}{2\times 13\times 10^{-2}}\\\Rightarrow B_l=6.28\times 10^{-5}\ \text{T}$

The magnetic field produced by the loop at its center is $6.28\times 10^{-5}\ \text{T}$ .

Torque is given by

$\tau=\pi NI_cr_c^2B_l\sin\theta\\\Rightarrow \tau=\pi 58\times 1.9\times (0.94\times 10^{-2})^2\times 6.28\times 10^{-5}\sin90^{\circ}\\\Rightarrow \tau=1.92\times 10^{-6}\ \text{Nm}$

The torque on the coil due to the loop $1.92\times 10^{-6}\ \text{Nm}$ .

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