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A pendulum of mass 80 mg carrying a charge of 2×10^4 vm^-1. Find the tension in the thread of the pendulum and the angle it makes with the vertical


sourabhsaha1299 18th Jul, 2020
Answer (1)
Venkatachalam M 22nd Jul, 2020

In this problem, the value of charge is not mentioned. But the magnitude of electric field is given as 2*10^4 vm^-1. With all the given information we can solve the problem as below. Here I have taken the charge to be 2*10^-8 C (assumed from similar problems).

Given: mass = 80 mg = 80 × 10 -6 Kg

Charge q = 2 × 10 -8 C

E = 2 × 10 4 Vm -1

Let 'T' is tension in string and θ

is angle of string with vertical.

In equilibrium,

Tsinθ=qE ..................(1)

Tcosθ=mg ....,,,,,,,,,,,,,(2)

Divide (1) by (2), we get

tanθ=qE/mg

=> tanθ=[2*(10^−8)*2*(10^4) ]/ [80×(10^−6)×10]

=> tanθ=0.5

=> θ=27

Now Tension T = qE/sinθ = 2×(10^−8)×2×(10^4) / s in27°

T = 8.8 × 10 -4 N

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