Find the charges on the three capacitors connected to a battery as shown in figure. Take C1 = 2.0 μF, C2 = 4.0 μF, C3 = 6.0 μF and V = 12 volts.


Redraw the circuit given



Given


Capacitance of C1 capacitor =2μF


Capacitance of C2 Capacitor =4μf


Capacitance of C3 capacitor =6μF


Voltage V=12V


Formula used


All three capacitors are in parallel. When capacitors are in parallel, we will add them.


Equivalent Capacitance



Charge of a capacitor can be calculated by the for formula



Where


Q is the charge of the capacitor


Ceq is the equivalent Capacitance of the capacitor


V is the voltage or potential difference across the plates of the capacitor


Charge on capacitor C1 is


Coulombs


Charge on capacitor C2 is



Charge on capacitor C3 is



Charge on capacitors 2μF, 4μF and 6μF are 24C, 48C, 72C respectively.


1