A.) Find the electric field vectors at point A and point B due to the charges gi

Question

A.) Find the electric field vectors at point A and point B due to the charges given.

Q= +15 microC ( both Q charges), (1)= the distance between Q1 and point A is 10 cm, (2)= the distance between point A and point B is 10 cm, (3) the distance between point B and Q2 is 20 cm

(1) (2) (3)

Q1-------|------|--------Q2

| | ( Both A and B are 10 cm away)

| |

A B

B.) A 50 cm long pendulum is placed into a horizontal electric field of 12000 N/C and the bob on the end is deflected to 6 cm above its lowest vertical position. What is the bob's charge if its mass is 1 g?

PLEASE explain each topic and explain the equations used in both, and the process of how to find the correct asnwer.

Explanation / Answer

here,

A)

Q = 15 * 10^-6 C

electric feild at A , Ea = k * Q * ( 1/0.1 - 1/0.3 )

Ea = 15 * 10^-6 * 9 * 10^9 * ( 1/0.1 - 1/0.3)

Ea = 9 * 10^5 N/C

electric feild at B , Eb = k * Q * ( 1/0.2 - 1/0.2 )

Ea = 0 N/C

B)

length of pendulam , l = 0.5 m

electric feild , E = 12000 N/C

x = 0.06 m

mass , m = 0.001 kg

deflection angle , theta = arccos((l-x)/l)

theta = 28.36 degree

let the charge of bob be q

let the tension be t

equating the forces

t * cos(theta) = m * g ....(1)

and

t * sin(theta) = q * E ....(2)

from (1) and (2)

tan(theta) = q*E /( m * g)

tan(28.36) = q * 12000 /( 0.001 * 9.8)

q = 4.41 * 10^-7 C

the charge is 4.41 * 10^-7 C

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