How much charge will flow from the battery?

In summary, the question asks for the amount of charge that flows from a 3500 pF air-gap capacitor connected to a 32 V battery when a piece of mica is inserted between the plates. The equation for capacitance with a dielectric constant is used to calculate the charge, which turns out to be (k-1)Co*V. In this case, the charge is (6-1)*3500*10^-12*32 = 1.68*10^-7 C.
  • #1
gillyr2
45
0

Homework Statement



A 3500 pF air-gap capacitor is connected to a 32 V battery. If a piece of mica fills the space between the plates, how much charge will flow from the battery?

Homework Equations



C= K*C_0
V= V_0/ K
Q= C*V
K of mica is 7

The Attempt at a Solution



solved for the _0's and plugged into Q=CV
i used (C/K) * (V*K) = (3500 *10^-12F)/7 * 32V*7 = 1.12*10^-7C

its wrong but i don't know what else to do. help.
 
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  • #2


well you've canceled out the mica with your equation.
You know that capacitance depends linearly on the k value of the dielectric (assuming area and distance between parallel plates remains constant).
So effectively the capacitance of with the mica inserted is 7 * 3500E-12.
Q = CV.
Do they want the answer in C or e?
 
  • #3


ok so it would be

Q = (7*3500*10^-12) * 32V

they want it in C. that gives 7.84*10^-7C which was my first answer but it is wrong.
 
  • #4


can someone help?
 
  • #5


The question is "how much charge flows from the battery?" (when you insert the mica).
Your (above) calculation gives the charge after inserting the mica. This includes the charge that was there already.
You just have to replace 7 by 6.

delta Q = kCo*V-Co*V = (k-1)Co*V

Is this the right answer?
 

1. How is the amount of charge in a battery measured?

The amount of charge in a battery is measured in coulombs, which is a unit of electric charge. This can be calculated by multiplying the battery's current (in amperes) by the time (in seconds) the battery is in use.

2. What factors influence the amount of charge that flows from a battery?

The amount of charge that flows from a battery is influenced by several factors, including the battery's voltage, resistance in the circuit, and the amount of time the battery is in use. Other factors like temperature and the type of battery also play a role.

3. How does the type of battery affect the amount of charge that flows?

The type of battery can greatly affect the amount of charge that flows from it. For example, a rechargeable battery can provide a consistent flow of charge over multiple uses, while a disposable battery will eventually lose its ability to hold a charge. Additionally, different battery chemistries have different capacities for charge storage.

4. Can the amount of charge flowing from a battery be controlled?

Yes, the amount of charge flowing from a battery can be controlled by adjusting the circuit, such as by adding resistors or using a voltage regulator. This allows for more precise control of the amount of charge being delivered to a device.

5. How can I determine the remaining charge in a battery?

There are several methods for determining the remaining charge in a battery, including using a multimeter to measure the voltage, observing the battery's power indicator, or using a battery tester. However, the most accurate way is to measure the battery's internal resistance, which decreases as the battery's charge decreases.

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