Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Two point charges q_A = 3 μC and q_B = –3 μC are located 20 cm apart in vacuum. What is the electric field at the midpoint O of the line AB joining the two charges?

Q 1.8(a): Two point charges q_{A}=3 \mu C and q_{B}=-3 \mu C are located 20 cm apart in vacuum. (a) What is the electric field at the midpoint O of the line AB joining the two charges?

Answers (1)

best_answer

Given, AB = 20 cm

Since, O is the midpoint of the line AB.

AO = OB = 10 cm = 0.1m

The electric field at a point caused by charge q, is given as,

E = \frac{kq}{r^2}

Where, q is the charge, r is the distance between the charges and the point O

k = 9x109 N m2 C-2

Now,

Due to charge at A, Electric field at O will be E_{A} and in the direction AO.

E_{A} =\frac{ 9\times10^9 \times 3\times10^{-6}}{0.1^2}

Similarly the Electric field at O due to charge at B,  also in the direction AO

E_{B} =\frac{ 9\times10^9 \times (-3\times10^{-6})}{0.1^2}

Since, both the forces are acting in the same direction, we can add their magnitudes to get the net electric field at O:

E' = E_{A} + E_{B} = 2E (Since their magnitudes are same)

E' =2\times \frac{ 9\times10^9 \times 3\times10^{-6}}{0.1^2} = 5.4\times 10^4 N/C along the direction AO.

Posted by

HARSH KANKARIA

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question