Question

Problem 89

Answer 1

Given information

Analyze the given circuit diagram and work on resistors and capacitors separately.

• Two resistors and are in series with 12.0V battery
• Two capacitors and are in parallel connection with the 12.0V battery
• we have to find the chargees on each capacitor

Step-by-step explanation

Step 1.

Formula used:

The capacitance of the capacitor is given by the formula

 

where, 

is the charge on the capacitor

is the voltage across the terminals of the capacitor

 

It is clear from the diagram that resistors are connected in series connections therefore, the equivalent resistance is

 

 

Now, 

      The current through the resistor circuit can be calculated using Ohm's law

 

or   

or   

Now, calculate the voltage drop across the resistor because this resistor is in parallel with the capacitors configuration and hence this will be the voltage across the capacitors as well.

The voltage drop across the resistor is