Two isolated sphereical conductors have radii `5 cm` and `10 cm`, espctively They have charges of `12muC` and `-3muC`. Find the charges after they are connected by a conductng wire. Also find the common potential after resistribution.
A
`3muC` `6 muC` `1.4xx10^5V`
B
`3muC` `16 muC` `5.4xx10^5V`
C
`30muC` `6 muC` `5.4xx10^5V`
D
`3muC` `6 muC` `5.4xx10^5V`
Text Solution
Verified by Experts
The correct Answer is:
D
net charge `=(12-3)muC=9muC` Charge is distributed in the ratio of their capacities (or radii in case of spherical conductors), i.e. `q_1^'/q_2^'=R_1/R_2=5/10=1/2` `q_1^'=(1/(1+2))(9)=3muC` `and q_2^'=(2/(1+2))(9)=6muC` conmon potential `V=(q_1+q_2)/(C_1+C_2)=((9xx10^-6)/(4piepsilon_0(R_1+R_2))` `((9xx10^-6)(9xx10^9))/((15xx10^-2))` `=5.4xx10^5V`
Topper's Solved these Questions
CAPACITORS
DC PANDEY|Exercise Exercise|155 Videos
CAPACITORS
DC PANDEY|Exercise OBJECTIVE_TYPE|1 Videos
ATOMS
DC PANDEY|Exercise MEDICAL ENTRANCES GALLERY|42 Videos
COMMUNICATION SYSTEM
DC PANDEY|Exercise Subjective|11 Videos
Similar Questions
Explore conceptually related problems
Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separted. Then
Consider Two metallic charged sphere whose radii are 20 cm and 10 cm respectively each having 150 microcoulomb positive charge. What is their common potential after they are connected by a conducting wire ?
Two conducting spheres of radii 5 cm and 10 cm are given a charge of 15mu F each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is
Two metallic spheres of radii 1 cm and 2 cm are given charges 10^(-2) C and 5 xx 10^(-2) C respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is
Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 xx 10^(-2) C and 5 xx 10^(-2) C , respectively . If these are connected by a conducting wire , the final charge on the bigger sphere is
Two spheres A and B of radius 4 cm and 6 cm are given charges of 80 muC and 40 muC , respectively. If they are connected by a fine wire, then the amount of charge flowing from one to the other is
Two insulated charged spheres of radii 20 cm and 25 cm respectively and having an equal charge Q are connected by a copper wire, they are separated
