Three identical capacitors are connected in parallel. If the total charge stored in the system is Q, what is the charge on each individual capacitor?
Q/3
To solve this problem, we need to understand how capacitors behave when connected in parallel. In a parallel connection:
If each capacitor has a capacitance of C and the voltage across them is V, then the charge Q_i on each capacitor is given by:
Q_i = C \cdot V
Since all capacitors have the same capacitance and are connected in parallel, each will store an equal amount of charge. If the total charge stored in the system is Q, and there are three capacitors, then by the symmetry of the setup, the charge on each capacitor is:
Q_i = \frac{Q}{3}
Therefore, the charge on each individual capacitor is Q/3.
The correct answer is Q/3.
Let's evaluate the given options:
A current I flows through a circular loop. If the radius of the loop is reduced to half and the current is doubled, the magnetic field intensity at the center becomes:
In wire-wound standard resistor, the bifilar winding is adopted to reduce ______.
Change in resistance of a conductor on increasing its length 3 times will be
The voltage induced in an inductor is represented as
Which component opposes voltage change?
Ten capacitors are connected in series. If all the ten capacitors are of the same value and the equivalent capacitance is 10 µF, find the capacitance of each capacitor.