Question 462: Electrostatics & Capacitance

Question

The bob of a simple pendulum has mass 2g and
a charge of 5.0 μC. It is at rest in a uniform
horizontal electric field of intensity 2000 V/m.
At equilibrium, the angle that the pendulum
makes with the vertical is : (take g = 10 m/s
2
)

Accepted Answer

Tcos$$	heta $$ = mg
Tsin$$	heta $$ = qE
tan$$	heta $$ = $${{qE} \over {mg}}$$
tan$$	heta $$ = $${{5 	imes {{10}^{ - 16}} 	imes 2000} \over {2 	imes {{10}^{ - 3}} 	imes 10}} = {1 \over 2}$$
$$ \Rightarrow $$ $${	an ^{ - 1}}\left( {{1 \over 2}} ight) = {	an ^{ - 1}}\left( {0.5} ight)$$

Answer

tan
–1
(5.0)

Answer

tan
–1
(2.0)

Answer

tan
–1
(0.5)

Answer

tan
–1
(0.2)

Electrostatics & Capacitance

The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of intensity 2000 V/m. At equilibrium, the angle that the pendulum makes with the vertical is : (take g = 10 m/s 2 )

Choose the correct answer: