electrostats

In the figure there is a four way key at the middle . if key is thrown from situation BD ton AD , then how much charge will flow through point O ????

13 Answers

1
big looser ......... ·

arey koi to reply karooooooooooooooooooooooo

1
Ashish Sharma ·

Q= CV

So charge on 4μF capacitor = 4X3 = 12 μ Coulombs.

When Switch is changed from BD to AD, both the plates of 4μF capacitor are short circuited. Hence charge on their plates will cancell out.

So 12 μ Coulombs charge will flow throught point O in A→D direction

1
big looser ......... ·

thats not the answer

1
varun ·

Edit : Thought the new switch was AC ..

But eventually the current through o must become 0 right ?

1
°ღ•๓яυΠ·

is it 24 μC ?
:s

1
amitjha ·

Where the hell is point "O" its a four way switch right, so is "O" hanging in the air

1
Ashish Sharma ·

Assuming that Aman has made a mistake ...
If key is thrown from situation BD ton AC.

Then the net charge which flows through O is 0

@ Aman .. please check the variable names before you post here [1]

1
varun ·

I think o is in the middle of the 4-way key such that BD means BO - OD
and AD means AO - OD ...

And if it is AC , isn't total charge = 36*2 μC ?

1
voldy ·

@ Ashish , please read the Q carefully , aman has written that the switch is changed form BD to AD , not AC.

1
big looser ......... ·

O point is at the centre and not in the air..........
see the new image. the black spot at the centre is O.
and the ans is 72 μC.

1
varun ·

If the new switch is AC, then it is 72 μC ( 36 μC from both )... but AD, I am not sure...

·

Q= CV

So, charge on left capacitor = 4X3 = 12 μ Coulombs.
charge on right capacitor = 4X6 = 24 μ Coulombs.

Now for the left capacitor :-
When Switch is changed from BD to AD, both the plates of 4μF capacitor are short circuited.
Hence charge on their plates will cancell out.

So 12 μ Coulombs charge will flow throught point O in A→D direction

P.S: Ashish has solved upto this in very begining, but he missed to consider the change in charges on the plates of right capacitor [3]

For the right capacitor :-
When Switch is changed from BD to AD, net Voltage across its plates decreases from 6V to 3 V ( think why ...... [1] )
So, final charge on right capacitor = 4X3 = 12 μ Coulombs.

So 12 μ Coulombs charge will flow throught point O in A→D direction

So Total Charge Flowing throught point O in A→D direction = 24 μ Coulombs.

·

@ Varun
You are correct. If the new switch is AC, then net charge flowing through O in A→C direction will be:-
36μC + 36 μC = 72 μC

@ Aman
If you have found this question in any text book, then there is a misprint. It should be AC not AD. Answers for both case are discussed already above

Case AC : 72 μC
Case AD : 24 μC

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