Q. 214.1( 40 Votes )

A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 103 N/C and points radially inward, what is the net charge on the sphere?

Answer :

Given:


Radius of charged sphere, r = 10 cm


Electric field, 20 cm away from centre of sphere, E = 1.5 × 103 NC-1


We know that, electric field intensity at a point P, located at a distance R, due to net charge q is given by,


…(1)


Now plugging the values of q and R in equation (1)


q = 4 × π × ε0 × R2 × E


q = 4 × 3.14 × 8.85 × 10-12N-1m-2C-2 × (0.2m)2 × 1.5 × 103C


q = 6.67 × 10-9C


The net charge on the sphere is -6.67 × 10-9C. Since the electric field points radially inwards, we can infer that charges on sphere are negative.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Electric Charges and Fields - 05Electric Charges and Fields - 05Electric Charges and Fields - 0556 mins
Electric Charges and Fields - 08Electric Charges and Fields - 08Electric Charges and Fields - 0854 mins
Electric Charges and Fields - 02Electric Charges and Fields - 02Electric Charges and Fields - 0256 mins
Electric Charges and Fields - 10Electric Charges and Fields - 10Electric Charges and Fields - 1055 mins
Electric Charges and Fields - 03Electric Charges and Fields - 03Electric Charges and Fields - 0352 mins
Electric Charges and Fields - 01Electric Charges and Fields - 01Electric Charges and Fields - 0155 mins
Electric Charges and Fields - 09Electric Charges and Fields - 09Electric Charges and Fields - 0946 mins
Electric Charges and Fields - 04Electric Charges and Fields - 04Electric Charges and Fields - 0447 mins
Electric Charges and Fields - 06Electric Charges and Fields - 06Electric Charges and Fields - 0658 mins
Electric Charges and Fields - 07Electric Charges and Fields - 07Electric Charges and Fields - 0751 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :