An isolated solid conducting sphere of radius 0.10 m carries an unknown total charge…
PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
An isolated solid conducting sphere of radius 0.10 m carries an unknown total charge distributed on its surface. The magnitude of the electric field measured at a point 0.50 m from the center of the sphere is 1.8 × 10⁴ N/C directed radially outward. The field measurement has an instrumental uncertainty of ±2 %.
(1) Determine the total charge on the sphere.
(2) Calculate the absolute uncertainty in the value of the charge that arises from the stated field measurement uncertainty.
(3) Express the charge with its uncertainty in standard scientific notation and appropriate units.