Two capacitors of capacitance 4micro farad and 6micro farad are connected in series to a 100v d.c supply,draw the circuit diagram and find
a)charge on either plate of each capacitor
b)potential difference across each capacitor
C)energy of the combined capacitors
Please help!!!
To draw the circuit diagram, we connect the capacitors in series with the 100V DC supply. The positive terminal of the supply is connected to the positive terminal of the first capacitor, and the negative terminal of the first capacitor is connected to the positive terminal of the second capacitor. Finally, the negative terminal of the second capacitor is connected to the negative terminal of the supply.
The circuit diagram would look like this:
100V ----|---4μF---|---6μF---|---
Now let's find the answers to the given questions:
a) To find the charge on either plate of each capacitor, we can use the formula Q = CV, where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage across the capacitor.
For the first capacitor with a capacitance of 4μF:
Q1 = (4μF)(100V) = 400μC
Similarly, for the second capacitor with a capacitance of 6μF:
Q2 = (6μF)(100V) = 600μC
b) The potential difference across each capacitor would be the same as the supply voltage since they are connected in series. Therefore, the potential difference across each capacitor is 100V.
c) To find the energy of the combined capacitors, we can use the formula E = 1/2 CV^2, where E is the energy stored in joules, C is the capacitance in farads, and V is the voltage across the capacitor.
For the first capacitor with a capacitance of 4μF:
E1 = 1/2 (4μF) (100V)^2 = 2mJ (millijoules)
For the second capacitor with a capacitance of 6μF:
E2 = 1/2 (6μF) (100V)^2 = 3mJ (millijoules)
The total energy of the combined capacitors is the sum of the energies of each capacitor:
E_total = E1 + E2 = 2mJ + 3mJ = 5mJ (millijoules)
So, the answers are:
a) Charge on each plate of the first capacitor is 400μC, and on the second capacitor is 600μC.
b) The potential difference across each capacitor is 100V.
c) The energy of the combined capacitors is 5mJ.