Two insulated charged copper spheres a and b

Asked by admin @ 29/08/2021 in Physics viewed by 286 People

(a) Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is 6.5 × 10−7 C? The radii of A and B are negligible compared to the distance of separation. (b) What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?

Answered by admin @ 29/08/2021

(a) charge on each copper sphere, q = 6.5 × 10^-7 C.

seperation between spheres , r = 50cm = 0.5m

from Coulomb's force, F = $\frac{kq_1q_2}{r^2}$

here, $q_1=q_2=q$

= 9 × 10^9 × (6.5 × 10^-7)²/(0.5)²

= 1.52 × 10^-2 N

hence, mutual force of electrostatic repulsion , F = 1.52 × 10^-2 N

(b) if each sphere is charged doubled the above amount and distance between them is halved.

i.e., $q'_1=2q$ , $q'_2=2q$ and $r'=\frac{r}{2}$

so, F' = $\frac{kq'_1q'_2}{r'^2}$

= $\frac{k(2q)(2q)}{\left(\frac{r}{2}\right)^2}$

= 16 × kq²/r²

= 16 × F

= 16 × 1.52

= 24.32 × 10^-2 N or 0.24 N

Two charged spheres are 8.45 cm apart

Asked by maham237 @ 16/02/2021 in Physics viewed by 452 persons

Two charged spheres are 8.45 cm apart. They are moved, and the force on each of them is found to have been tripled. How far apart are they now?

Two point charges a and b having charges

Asked by admin @ 29/08/2021 in Physics viewed by 328 persons

74. Two point charges A and B, having charges+Q and -Q respectively, are placed at certaindistance apart and force acting between them isF. If 25% charge of …

Two small spheres each carrying a charge q

Asked by admin @ 31/08/2021 in Math viewed by 368 persons

2 small spheres each carrying a charge q are placed r m apart and they interact with a force f. if one of the sphere is taken around the oyher …

What is the force between two small charged spheres

Asked by admin @ 11/08/2021 in Physics viewed by 299 persons

Question 1.1: What is the force between two small charged spheres having charges of 2 × 10 −7 C and 3 × 10 −7 C placed 30 cm apart in …

Two identical charged spheres suspended from a common point

Asked by admin @ 11/08/2021 in Physics viewed by 298 persons

Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their …

Two small conducting spheres of equal radius have charges

Asked by admin @ 20/08/2021 in Physics viewed by 497 persons

1. Two small conducting spheres of equal radius have charges +10μC and -20μC respectively and placed at a distance R from each other experience force F1. If they are brought …

Two identical metal spheres having equal and similar charges

Asked by admin @ 16/08/2021 in Physics viewed by 316 persons

Two identical metal spheres having equal and similar charges repels each other with a force of 103 N , when they are placed 10 cm apart in a medium of …

What is the magnitude of charge that requires 2.0 x 10^-2 joule of work to move it from a to b?

Asked by len2730g @ 16/05/2022 in Science viewed by 344 persons

Two metallic spheres of radii 1cm and 3cm

Asked by admin @ 31/08/2021 in Physics viewed by 297 persons

two metallic sphere of radii 1cm and 3 cm are given charges of -1×10-² c and 5×10-² c respectively if these are connected by a conducting wire, the final charge …

The volume of two spheres are in the ratio

Asked by admin @ 23/08/2021 in Math viewed by 321 persons

The volume of two spheres are in the ratio 64:27. Find the ratio of their surface areas.

Two spheres of radii in the ratio 1 2

Asked by admin @ 23/08/2021 in Physics viewed by 342 persons

Two spheres of radii in the ratio 1:2, have specific heats in the ratio 2:3. The densities are in the ratio 3:4. Find the ratio of their thermal capacities.

Two small spheres of masses 10kg and 30 kg

Asked by admin @ 17/08/2021 in Physics viewed by 378 persons

Two small spheres of masses 10kg and 30kg are joined by a rod of length 0.5m and of negligible mass. The moment of inertia about the normal axis of the …

Two spheres have radii 10 cm and 20 cm

Asked by admin @ 17/08/2021 in Physics viewed by 402 persons

Two spheres have radii 10 cm & 20 cm. One of the sphere is given 150 uC charge and connected by a wire. Their common potential will be- (1) 9 …

Two concentric conducting spheres of radii r and 2r

Asked by admin @ 17/08/2021 in Physics viewed by 309 persons

Two concentric conducting sphere of radii R and 2R are carrying charges Q and -2 Q respectively if the charge on the inner sphere is doubled the potential difference between …

Two small and heavy spheres each of mass m

Asked by admin @ 17/08/2021 in Physics viewed by 304 persons

Two small and heavy spheres each of mass m are placed at a distance are apart on a horizontal surface the gravitational potential at the midpoint of the line joining …