How Do Capacitors Behave in Different Configurations?

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In summary: The correct answer should be Q=60μC.In summary, a capacitor with a capacitance of 5μF, fully charged from a 12V battery, will have a charge of 60μC on its plates. When connected in parallel with a 10μF capacitor, the combined capacitance will be 15μF. When connected in series with another 10μF capacitor, the combined capacitance will be 10/3μF.
  • #1
CannonSLX
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Homework Statement


A capacitor has a capacitance of 5μF. If its fully charged from a 12V battery;
i) What will its charge on its plates at the end of the process
ii) The combined capacitance if the capacitor is connected in parallel with another 10μF capacitor
iii) The combined capacitance if the capacitor is connected in series with another 10μF capacitor

Homework Equations


i) C=Q/V
ii) Ctotal=C1+C2
iii) ii) 1/Ctotal=1/C1+1/C2

The Attempt at a Solution


i) Q=CV .:. Q=60A
ii) 15μF
iii) 1/Ctotal = 3/10 .:. Ctotal=10/3
 
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  • #2
CannonSLX said:

Homework Statement


A capacitor has a capacitance of 5μF. If its fully charged from a 12V battery;
i) What will its charge on its plates at the end of the process
ii) The combined capacitance if the capacitor is connected in parallel with another 10μF capacitor
iii) The combined capacitance if the capacitor is connected in series with another 10μF capacitor

Homework Equations


i) C=Q/V
ii) Ctotal=C1+C2
iii) ii) 1/Ctotal=1/C1+1/C2

The Attempt at a Solution


i) Q=CV .:. Q=60A
ii) 15μF
iii) 1/Ctotal = 3/10 .:. Ctotal=10/3
Your answer (i) for charge has the wrong units.

Your answer to (ii) is correct.

Your answer to (iii) has no units.
 
  • #3
SammyS said:
Your answer (i) for charge has the wrong units.

Your answer to (ii) is correct.

Your answer to (iii) has no units.
Sorry, I meant C(Coulombs)
and is part iii) correct if I'd added uF ?
 
  • #4
CannonSLX said:
Sorry, I meant C(Coulombs)
and is part iii) correct if I'd added uF ?
Yes. (10/3)μF is correct.
 
  • #5
CannonSLX said:
Sorry, I meant C(Coulombs)
and is part iii) correct if I'd added uF ?
part (i) is still wrong, even after changing A to C.
 

Related to How Do Capacitors Behave in Different Configurations?

1. What is a capacitor?

A capacitor is an electronic component that stores electrical energy in the form of an electric field. It consists of two conductive plates separated by an insulating material, known as a dielectric.

2. How does a capacitor work?

When a voltage is applied across a capacitor, the electric field between the two plates is established and the capacitor begins to charge. As it charges, the capacitor stores energy in the electric field between the plates. When the voltage is removed, the capacitor discharges and releases the stored energy.

3. What is the unit of measurement for capacitance?

Capacitance is measured in farads (F), named after the scientist Michael Faraday. However, in most electronic applications, the microfarad (µF) and picofarad (pF) units are commonly used.

4. What are the different types of capacitors?

There are several types of capacitors, including ceramic, electrolytic, film, and variable capacitors. Ceramic capacitors are small, inexpensive, and commonly used in electronic circuits. Electrolytic capacitors have a higher capacitance and are often used for power supply filtering. Film capacitors have good stability and are used in high-frequency applications. Variable capacitors have a variable capacitance and are used for tuning circuits.

5. What are the applications of capacitors?

Capacitors have a wide range of applications in electronics, including energy storage, filtering, smoothing, timing, and tuning. They are commonly used in power supplies, audio equipment, radios, and electronic circuits. They are also used in various industrial and automotive applications.

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