Charge and surface charge density on spheres at the same potential (touched or connected)
This type of question, asked 6 times: 4 May 2023 S1, 11 May 2024 S2, 11 Apr 2026 S1, 13 Apr 2026 S2, 15 May 2026 S1, 19 May 2026 S2. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
4 May 2023 S1
49A metallic sphere A isolated from ground is charged to . This sphere is brought in contact with other isolated metallic sphere B of half the radius of sphere A. Then the charge on the two isolated spheres A and B are in the ratioTap an option to check your answer.
Question 2
11 May 2024 S2
40Two spherical conductors of capacities and are charged to same potential having radii 3 cm and 2 cm respectively. If '' and '' represent surface density of charge on respective conductors then isTap an option to check your answer.
Question 3
11 Apr 2026 S1
124Two metal sphere of radius and have same surface charge density . If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes and , respectively. The ratio is.Tap an option to check your answer.
Question 4
13 Apr 2026 S2
128Two isolated metallic spheres of radii and are charged such that both have the same charge density . The spheres are then connected by a thin conducting wire. If the new charge density of the larger sphere is . The ratio to isTap an option to check your answer.
Question 5
15 May 2026 S1
124A large insulated sphere of radius , charged with C is placed in contact with a small insulated uncharged sphere of radius and is then separated. The charge on the smaller sphere will now beTap an option to check your answer.
Question 6
19 May 2026 S2
126Two spheres A and B of radius and respectively are at the same electric potential. The ratio of the surface charge densities of A to that of B isTap an option to check your answer.