two identical metallic ball spherical shells A and B charges 4Q and -10c are kept a certain distance apart a third uncharged sphere C is first placed in contact with sphere A and then with sphere B the sphere B are bought in contact and then separated find the charge on sphere A and B
-Q each
A=C A+C /2 =2Q
B=C B+C/2=-4Q
A=B A+B/2= -Q
To find the charges on spheres A and B after the described process, we can apply the principle of conservation of charge. According to this principle, the total charge before and after any interaction remains the same.
Let's break down the process step by step:
Step 1: The third uncharged sphere C is placed in contact with sphere A.
- Since sphere C is uncharged, no charge is transferred between sphere A and sphere C. Both spheres will have the same original charge, which is 4Q.
Step 2: Sphere C is then placed in contact with sphere B.
- As sphere C is still uncharged, no charge is transferred between sphere C and sphere B. Therefore, the charge on sphere B remains -10C.
Step 3: Spheres B and C are brought in contact and then separated.
- When spheres B and C are brought into contact, charge is transferred between them until they reach equilibrium. As a result, the final charges on spheres B and C will be equal.
- Since sphere B had a charge of -10C, and it gained charge from contact with sphere C, the charge on sphere B after contact will be less negative or more positive.
- Since sphere C was uncharged initially and gained charge from contact with sphere B, its final charge will be the opposite charge that sphere B had before contact, which is +10C.
After separating spheres B and C, their charges will remain the same as their final charges after contact:
- The charge on sphere B is +10C.
- The charge on sphere C is also +10C.
Since charge is conserved throughout the process, the charge on sphere A remains the same as its original charge, which is 4Q.
Therefore, after the described process:
- The charge on sphere A is 4Q.
- The charge on sphere B is +10C.
- The charge on sphere C is +10C.
Both are of same charge that's why they are pushing each other or get separated
after AC contact, both have charge 2Q.
Then CA, so both leave with Q charge.
Then I don't know what <hen with sphere B the sphere B are bought in contact> means.
The issues is, both spheres brought in contact gives each the same average charge.