Question

Immediately outside a conducting sphere of unknown charge sphere, the potential is 140 V. and radius R the electric potential is 190 V, and 10.0 cm further from the (a) Determine the radius R of the sphere (in cm) 28 (b) Determine the charge on the sphere (in nC). c) The electric potential immediately outside another charged conducting sphere is 200 V and 10.0 cm farther from the center the magnitude of the electric field is 420 V/m. Determine the radius (in cm) of any sphere for which this is possible. (Enter your answers from smallest to largest. If only one value exists, enter"NONE" in the second answer blank.) RO (d) Determine the charge on the sphere (in nC) for each value of R. (If only one value 0.467 XnC 4-NONE XnC

Answer 1

hal - 2000 - (immediately outside) k potential KO 2008 VOV R - & Electric field = 420 V 2-10cm KO = 420 V (R+ 10 cm) here R is in metre - Ko = 420 V ②. (:10cm = 0.1m) CR+ 0.2 How eqn 0 eqn ③ KO 200 X 420 10 GR + 0.1)2 = 200 R 420 [R+ + 12 = 20 k pP+to+ 28 = 2* 2 100

R will have two values R= (580+ 400 580- 400 ( 200x212 , ( 580- 400) 200 X 21 2008 2 ; R = 0.233 g 0.042857 m. R(unsem) – 23.346m & 4.2857cm & R2 = 23.34 cm . Ri= 4.2857 cm (smallest) (largest) : using eqno Re - 2000 O= 200V XR = 200 XR 9x109

.: 9 = 200 хв, Чхоч о - 95 24С 2 0 - 2 00 x #2 ахоч = 5- 18 5 пC