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Answer :
The charge on the 6 μF capacitor is 10.29 μC.
What is the charge of capacitor?
The charge of a capacitor is the amount of electric charge stored on its plates due to the potential difference (voltage) between them. The charge is directly proportional to the capacitance and the voltage across the capacitor, according to the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.
First, we can calculate the equivalent capacitance of the two capacitors connected in parallel:
[tex]C_{parallel}[/tex]= C1 + C2 = 6 μF + 8 μF = 14 μF
Next, we can calculate the total equivalent capacitance of the circuit, which is the capacitance of the parallel combination in series with the 14 μF capacitor:
1/[tex]C_{total}[/tex] = 1/ [tex]C_{parallel}[/tex] + 1/C3
1/[tex]C_{total}[/tex] = 1/14 μF + 1/14 μF
1/[tex]C_{total}[/tex] = 1/7 μF
[tex]C_{total}[/tex] = 7 μF
Using the formula Q = CV, we can calculate the charge on the 6 μF capacitor:
Q = C × V = 6 μF × 12 V / 7 μF = 10.29 μC
Therefore, the charge on the 6 μF capacitor is 10.29 μC.
What is capacitance?
Capacitance is the ability of a capacitor to store electric charge when a voltage is applied across its terminals. It is defined as the ratio of the electric charge stored in the capacitor to the voltage applied to it, and its unit is the farad (F). A capacitor with a high capacitance value can store more charge for a given voltage than a capacitor with a lower capacitance value.
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Final answer:
The charge on the 6 micro farad capacitor is 168 micro coulomb.
Explanation:
To find the charge on the 6 micro farad capacitor, we first need to determine the equivalent capacitance of the parallel combination of the 6 micro farad and 8 micro farad capacitors. The formula to calculate the equivalent capacitance of capacitors connected in parallel is:
C_equivalent = C1 + C2
Substituting the given values, we have:
C_equivalent = 6 micro farad + 8 micro farad = 14 micro farad
Now, we can calculate the charge on the 6 micro farad capacitor using the formula:
Q = C_equivalent * V
Substituting C_equivalent = 14 micro farad and V = 12 V, we get:
Q = 14 micro farad * 12 V = 168 micro coulomb
