Please show detailed step by step solution to problems. If any diagram is requir

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Please show detailed step by step solution to problems. If any diagram is required please do so. Please draw to scale for me. Thanks

12. Part of single rectangular loop of wire with dimensions shown in the figure below is snu (a) What is the uniform magnetic field (B: into the page.) The loop is pulled to the left at a constant spee direction of the induced current in the loop? (write the clear reason) 490 (b) prove (drive (emf ) in the loop is -BLV. 4 % situated inside a region of v. (a) What i ) that the induced voltage Reason for (a): (b) Prov × an V nucecurvext actn the 4 Ll 5. Dire f induced current: ruse 13. Two tong, straight wires carry currents I8A (into the page) and I2-12 A (out of page) are placed at two corners of a right triangle, shown in the figure below. Find the magnitude of the net magnetic field at point P (third corner of the right triangle), 12 % Answer: 10- T 8 cm 12 - 1 A -7 41 xIox 5 r0

Explanation / Answer

(a) The direction of the induced current is such that it opposes the change the causes to produce the current.

so here the direction of induced current is clockwise which produces opposite nature of magnetism (outward) so it will try to stop the motion of the wire loop .

(b)

For above condition we have two forces acting on the loop.

1. electromagnetic force Fem=evB

where e is charge on electron , v is velocity and B magnitude of magnetic field.

2. electrostatic force Fe=eE

where e is charge on electron and E is electric field produced .

Here in equilibrium

Fe=Fem

eE=evB

E=vB

also electric field E=V/L where V is electric potential and l is length.

V/L =vB

V=BLv Proved ANS

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