Potential difference across capacitor

In summary, the conversation discusses a bridge circuit with capacitors and resistors. The person is confused about why the potential difference in capacitor C1 is zero in the solution. They are then given an example of how capacitor values can result in a zero voltage difference. The conversation also delves into the scenario where the capacitor values are not equal, and how it affects the voltage difference. The expert suggests reading an article on bridge circuits for better understanding.
  • #1
ShaddollDa9u
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Member advised to use the homework template for posts in the homework sections of PF.
Hi, the solution of my exercise says that the potential difference in the capacitor C1 is zero.
1494361264-screenshot-from-2017-05-09-16-06-36.png

Can you please explain me why it's the case ?

Thank you.
 
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  • #2
You don't have any values for those capacitors. This is an example of a bridge circuit. Read this article for some insight. https://en.wikipedia.org/wiki/Bridge_circuit

Resistors and capacitors work differently, but be assured that there are capacitor values which would result in the voltage at the top of the C1 to be the same voltage as the bottom of C1. For example, if we have 10.5 volts at the top and 10.5 volts at the bottom, then 10.5-10.5 = 0.
 
  • #3
Owwww I'm sorry, I forgot to give the values !

In fact, we have C2=C4 = 1.0μF and C3=C5 = 2.0μF.
 
  • #4
However what if, in this case, we have C2 =/= C4 OR C3 =/=C5, C1 wouldn't be equal to zero anymore, right ?
 
  • #5
ShaddollDa9u said:
However what if, in this case, we have C2 =/= C4 OR C3 =/=C5, C1 wouldn't be equal to zero anymore, right ?
Correct.
 
  • #6
ShaddollDa9u said:
However what if, in this case, we have C2 =/= C4 OR C3 =/=C5, C1 wouldn't be equal to zero anymore, right ?
You should really take a look at the article on Bridge circuits, which I pointed to in the earlier post. Once you understand how resistor bridge circuits work, it will not be much of a stretch to understand other components, such as capacitors.
 

Related to Potential difference across capacitor

1. What is potential difference across a capacitor?

Potential difference across a capacitor, also known as voltage, is the difference in electric potential between the two plates of a capacitor. It is measured in volts (V) and is represented by the symbol "V" in equations.

2. How is potential difference across a capacitor calculated?

The potential difference across a capacitor can be calculated by dividing the charge on the capacitor by its capacitance. This can be represented by the equation: V = Q/C, where V is the potential difference, Q is the charge, and C is the capacitance.

3. What is the relationship between potential difference and capacitance?

The potential difference across a capacitor is directly proportional to its capacitance. This means that as the capacitance increases, the potential difference across the capacitor also increases. This relationship is expressed by the equation: V ∝ 1/C.

4. How does potential difference affect the energy stored in a capacitor?

The potential difference across a capacitor is directly related to the amount of energy it can store. As the potential difference increases, the energy stored in the capacitor also increases. This relationship is represented by the equation: E = 1/2 * CV^2, where E is the energy, C is the capacitance, and V is the potential difference.

5. Can potential difference across a capacitor be negative?

Yes, potential difference across a capacitor can be negative. This occurs when the polarity of the capacitor is reversed or when it is connected in a circuit with a battery of opposite polarity. In these cases, the potential difference is still measured in volts, but with a negative sign to indicate the direction of the electric field.

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