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Two identical metallic sphere's A and B having charges+4 Q and -10 Qare kept a certain distance apart. A third identical unchargedsphere C is first placed in contact with sphere A and then with sphere B. Spheres A and B are then broughtin contact and then separated. Find the charges on the spheres A and B. |
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Answer» Solution :Initial charge onsphere `A, q_A = +4Qand "charges"on B , q_B = - 10Q .` When an identical UNCHARGED SPHERE C is PLACED in contact with sphere A , it SHARES its charge and charge on `C, q_C =(q_A)/( 2)= +(4Q)/( 2) ` =2Qand the remainingcharge on A BECOMES `q_A =+2Q ` Now sphere C having charge `q_C =+2Q ` is brought in contact with sphere B having charge `q_B = -10 Q `. The two spheres share their charges and acquire charges ` ""q_C. =q_B. =((+2Q-10Q))/(2) =-4Q` Now finally spheres A ( charges `q_A. =+2Q) `and B (charges `q_B. =-4Q ) ` are brought in contact and then separated. On contact A and B share their charges equally and final value of charge on A or B will be ` ""q_A.. ""q_B.. =(+2Q-4Q)/( 2) = -Q ` |
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