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## A current carrying wire is placed in the grooves of an insulating semi circular disc of radius 'R', as shown. The current enters at point A and leaves from point B. Determine the magnetic field at point D.

A current carrying wire is placed in the grooves of an insulating semi circular disc of radius 'R', as shown. The current enters at point A and leaves from point B. Determine the magnetic field at point D.

Byju's Answer Standard X Physics U-Shaped Magnet A current car... Question

A current carrying wire is placed in the grooves of an insulating semi circular disc of radius 'R', as shown. The current enters at point A and leaves from point B. Determine the magnetic field at point D.

Open in App Solution

Suggest Corrections 5 SIMILAR QUESTIONS

**Q.**

The magnetic field strength at a point due to a current carrying circular wire depends on

**Q.**A wire carrying current

I

has the shape as shown in the figure.

Linear parts of the wire are very long and parallel to

X

-axis while semi-circular portion of radius

R is lying in Y − Z

plane. Magnetic field at point

O is

**Q.**Magnetic field at point P at a distance d from vertex of infinite wire carrying current

i

as shown in figure is

**Q.**A wire having a semi circular loop of radius

r carries a current i

as shown in figure. The magnetic field at the center

C

due to entire wire is

**Q.**A circular ring is connected across a cell such that the current

I

, enters the loop at point

A and leaves at point B

, as shown in the diagram. The radius of the ring is

r

. The magnetic field at the centre of the ring is

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## A current carrying wire is placed in the grooves of an insulating semi circular disc of radius R , as shown. The current enters at point A and leavesfrom point B . Determine the magnetic field at point D .

Click here👆to get an answer to your question ✍️ A current carrying wire is placed in the grooves of an insulating semi circular disc of radius R , as shown. The current enters at point A and leavesfrom point B . Determine the magnetic field at point D .

A current carrying wire is placed in the grooves of an insulating semi circular disc of radius R, as shown. The current enters at point A and leavesQuestion

from point B. Determine the magnetic field at point D.

**A**

8πR 3 μ 0 1

**B**

4πR 3 μ 0 1

**C**

4πR 3 μ 0 1

**D**

## None of these

Hard Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is B)

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## A current carrying wire is placed in the grooves of an insulating semicircular disc of radius 'R', as shown in Fig. The current enters at point A and leaves from point B. Determine the magnetic field at Point D.

r(1)=2R sin 30^(@)=R, r(2)=2R sin 60^(@)=Rsqrt(3) B(D)=B(AC)+B(CB)=(mu0)/(4 pi)[(i)/(r1)sin phi(1)] * + (mu0)/(4 pi)[(i)/(r1)sin phi(1)]? (mu0)/(4 pi)[(sin 60^(@))/(r1)-(sin 30^(@))/(r2)] * (mu(0)i)/(4 pi Rsqrt(3)*.

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A current carrying wire is pla...

A current carrying wire is placed in the grooves of an insulating semicircular disc of radius 'R', as shown in Fig. The current enters at point A and leaves from point B. Determine the magnetic field at Point D.

Updated On: 27-06-2022

( 00 : 21 ) ADVERTISEMENT Text Solution Open Answer in App A μ 0 i 8πR 3 – √ μ0i8πR3 B μ 0 i 4πR 3 – √ μ0i4πR3 C 3 – √ μ 0 i 8πR 3μ0i8πR D None of these Answer

The correct Answer is B

Solution r 1 =2R sin30 ∘ =R, r 2 =2R sin60 ∘ =R 3 – √

r1=2Rsin30∘=R,r2=2Rsin60∘=R3

B D = B AC + B CB = μ 0 4π [ i r 1 sinϕ 1 ]⋅+ μ 0 4π [ i r 1 sinϕ 1 ]?

BD=BAC+BCB=μ04π[ir1sinϕ1]⋅+μ04π[ir1sinϕ1]?

μ 0 4π [ sin60 ∘ r 1 − sin30 ∘ r 2 ]⋅ μ 0 i 4πR 3 – √ ⋅

μ04π[sin60∘r1-sin30∘r2]⋅μ0i4πR3⋅

.

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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