Physics, asked by Ataraxia, 3 months ago

1) Two charges of magnitude 5nC & -2nC are placed at points ( 2cm , 0 , 0 ) & ( 20cm , 0 , 0 ) in a region of space, where there is no external field.. Find electrostatic potential energy of the system.

2) An emf of 96 mV is induced in the windings of a coil when the current in the nearby coil is increased at the rate of 1.20 A/s. What is the mutual inductance of the two coils?​

Answers

Answered by Anonymous
65

1. Two charges of magnitude 5nC and - 2nC are placed at 2cm and 20cm from the origin respectively.

We know that,

\sf U = \dfrac{1}{4 \pi \epsilon_o} \times \dfrac{q_1q_2}{\Delta{r}}

Substituting the values,

 \longrightarrow \sf U =  9 \times  {10}^{9}  \times  \dfrac{5 \times  {10}^{ - 9}  \times  - 2 \times  {10}^{ - 9} }{20 \times  {10}^{ - 2}  - 2 \times  {10}^{ - 2} }  \\  \\ \longrightarrow \sf U =   -  \dfrac{9   \times   10 \times  {10}^{ - 9} }{18 \times  {10}^{ - 2} }  \\  \\ \longrightarrow  \ \boxed{ \boxed{\sf U =  - 0.5 \times  {10}^{ - 6} J}}

2. Given Information,

EMF = 96mV

Rate of change of current w.r.t t = 1.20 A/s

Since,

 \sf E = L \dfrac{dl}{dt}

Substituting the values,

 \longrightarrow \sf 96 \times 10 {}^{ - 3}  = L  \times 1.2 \\  \\  \longrightarrow  \boxed{ \boxed{\sf \:  L = 8 \times  {10}^{ - 2} H}}


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Answered by nabanechu1535
56

1. Let p be the point of zero potential be p at distance r from the charge 1..

d=16 cm

Electric potential V = q1 / 4πo r+q2 /4πϵ o (d−r)

for V = 0,

q1 / r = −q2 / d−r

⇒ 5×10¯8 / r = −3×10 −8 / 0.16 - r

r = 10 cm

If , point p is outside ,

v = q1 / 4πϵo r+q2 / 4πϵo (r−d)

so here, r=40 cm

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