Solve this plzzz Q A rectangular loop ABCD is placed near on infinite length current - Physics - Moving Charges And Magnetism

Question

Solve this plzzz

Q A rectangular loop ABCD is placed near on infinite length current
carrying wire Magnetic force on the loop is :-

(1) 1 25 x 10-4N, Attraction (2) 1 25 x 10 -4
N, Repulsion
(3) 12 5 x 10-4 N, Repulsion (4) 12 5 x 10-4
N, Attraction

Aarushi Mishra · Accepted Answer

The sides AB and CD are symmetrically placed but have opposite direction of current, so net force on AB and CD will be zero
 Net forece acting on rectangle ABCD will be same as net force acting on AD and BC
Magentic field due to infinite wire, B=μ0I2πr, direction is given by right hand thumb ruleI=25AMagentic field due to infinite wire at AD r=5cm=0
05m, Bat AD=μ0×252π×0
05 inside paperMagentic field due to infinite wire at BC r=30cm=0
3m, Bat BC=μ0×252π×0
3 inside paperForce acting on a current carrying conductor is given by, F=Il→×B→Here I=current flowing thorugh the current carrying conductor=15A, l→=10 cm=0
1m direction is in the direction of current, Force acting on AD, FAD=15×0
1× Bat AD towards leftForce acting on BC, FBC=15×0
1× Bat CD towards rightNet force=FAD-FBC towards left =15×0
1× Bat AD-15×0
1× Bat BC towards left=15×0
1Bat AD-Bat BC   towards left=15×0
1μ0×252π×0 05-μ0×252π×0
3   towards left=15×0
1×μ0×252π10 05-10
3   towards left=15×0
1×μ0×252π×16
667 towards left=15×0
1×4π×10-7×252π×16
667 towards left=1
25×10-4N towards left i e
 attraction occurs

Solve this plzzz... Q. A rectangular loop ABCD is placed near on infinite length current carrying wire. Magnetic force on the loop is :- (1) 1.25 x 10-4N, Attraction (2) 1.25 x 10 -4 N, Repulsion. (3) 12.5 x 10-4 N, Repulsion (4) 12.5 x 10-4 N, Attraction.

Solve this plzzz...

Q. A rectangular loop ABCD is placed near on infinite length current carrying wire. Magnetic force on the loop is :-

(1) 1.25 x 10^-4N, Attraction (2) 1.25 x 10 ^-4 N, Repulsion.
(3) 12.5 x 10^-4 N, Repulsion (4) 12.5 x 10^-4 N, Attraction.