Flag Magnetism> . Two long straight parallel wires are 2 ...
question mark

. Two long straight parallel wires are 2 metres apart, perpendicular to the plane of the paper (wee figure). The wire A carries a current of 9.6 amps, directed into the plane of the paper. The wire B carries a current such that the magnetic field of induction at the point P, at a distance of 10 / 11 metre from the wire B, is zero
Find :
(i) The magnitude and direction of the current in B.
(ii) The magnitude of the magnetic field of induction at the point S.
(iii) The force per unit length on the wire B.

Amit Saxena , 10 Years ago
Grade upto college level
anser 1 Answers
Navjyot Kalra

Last Activity: 10 Years ago

Hello Student,
Please find the answer to your question
. (i) The magnetic field at P due to current in wire A.
BA = μ0 / 4π 2IA / rAP = μ0 / 4π x 2 x 9.6 / (2 + 10 / 11) (Direction P to M ) … (i)
NOTE : The current in wire B should be in upward direction so as to cancel the magnetic field due to A at P. (By right hand Thumb rule)
The magnetic field at P. due to current in wire B
BB = μ0 / 4π x 2IB / (10 / 11) …(ii)
From (i) and (ii)
μ­0 / 4π x 2 x 9.6 / (2 + 10 / 11) = μ­0 / 4 π x 2IB / (10 / 11)
⇒ 9.6 x 11 / 32 = IB x 11 / 10 ⇒ IB = 96 / 32 = 3A
(ii) The dimensions given shows that
SA2 + SB2 = AB2 ⇒ ∠ASB = 90°
Magnetic field due to A at S
BSA = μ0 / 4π 2IA / rSA = μ0 / 4π x 2 x 9 .6 / 1.6 (Directed S to B)
Magnetic field due to B at S
BSB = μ0 / 4π 2IB / rSB = μ0 / 4π 2 x 3 / 1.2 (Directed S to A)
The resultant magnetic field
B = √B2SA + B2SB = μ0 / 4π √(9.6 / 0.8)2 + (3 / 06 )2
= 10-7 x 13 = 1.3 x 10-6 T
= μ0 / 4π 2IAIB / rAB
= 10-7 x 2 x 9.6 x 3 / 2 = 28.8 x 10-7 N/m
This force will be repulsive in nature.
Thanks
Navjot Kalra
askIITians Faculty

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free