80 moicro farad capcitor is connected to 220 volt battery it is then disconnected and connected uncharged capacitor of 360 micro farad what is the charge of the uncharged capacitor
To find the charge on the uncharged capacitor, we can use the principle of conservation of charge.
Initially, the 80 microfarad capacitor is connected to the 220V battery. The charge on the capacitor can be calculated using the formula:
Charge (Q) = Capacitance (C) * Voltage (V)
Q = 80 microfarad * 220V = 17,600 microcoulombs
When the 80 microfarad capacitor is disconnected, the charge remains constant according to the principle of conservation of charge.
Now, this charged capacitor is connected to the uncharged capacitor of 360 microfarad. Since the charge on the first capacitor remains the same, we can use the formula:
Q = C * V
where Q is the charge, C is the capacitance, and V is the voltage.
Let's denote the charge on the uncharged capacitor as Q2. The equation becomes:
Q2 = 360 microfarad * V
To solve for Q2, we need to determine the voltage V. Since both capacitors are connected in series, the voltage across the combination will be the same. Therefore, we can substitute the previously calculated voltage.
Q2 = 360 microfarad * 220V
Q2 = 79,200 microcoulombs
Hence, the charge on the uncharged capacitor (360 microfarad) will be 79,200 microcoulombs.