EMI

Paragraph
Two long parallel wires, each of radius 'a' whose axis are at a distance 'd' apart carry equal currents in opposite direction. (In all the calculations, flux within the wire is to be neglected)

Q1. The self inductance per unit length of the pair is

Q2. A small circular loop of radius r (r<<d) is placed midway between the wires in the plane of wires such that the plane of loop is same as that os wires and the wires start moving towards each other with speed v. The magnitude of induced emf in the circular loop when the separation becomes d/2 is ________

Matrix Match
1. One conducting L shaped rod AOB is in a uniform magnetic field of strength 2T as shown in figure.

Column 1 lists the velocity of AOB and col. II lists the magnitude of induced emf between A and B

Col I Col II
rotates clockwise (p) 10V
with 2rad/s about axis (q) 50V
passing through O and (r) A is positive wrt B
perpendicular to the (s) 14V
plane of the conducting (t) no emf is induced
rod AOB

14 Answers

24
eureka123 ·

1)
plz confirm
is ans \frac {\mu _0}{\pi} ln(1+2d/a)

106
Asish Mahapatra ·

its given μ0∩ln(d/a - 1)

24
eureka123 ·

kk et me check my calculations again

24
eureka123 ·

ur match the column.column 1 is not clear

3
iitimcomin ·

3
iitimcomin ·

sorry in the second part of the above post there is a slight error ..... i forgot abt the 2 ...

so the ans shud be 8μIv and not wat ive ritten

3
iitimcomin ·

ashish corr. the third ques its not clear ..

106
Asish Mahapatra ·

the third question ... there's only one thing in Col I ... column I is actually bit (A) I din have dbts in the other ones so din post them

3
iitimcomin ·

Va - Vb = 14V ....

106
Asish Mahapatra ·

any other?

24
eureka123 ·

r,s

106
Asish Mahapatra ·

how 'r'

i was getting A is -ve wrt B

24
eureka123 ·

Va - Vb = 14V ....
so how can A be at negative polarity ???

106
Asish Mahapatra ·

sry sry din see rotates clockwise....

thx iitimcomin and eure

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