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Chapter 23: Problem 23

What voltage is needed to put \(1.6 \mathrm{mC}\) on a \(100-\mu \mathrm{F}\) capacitor?

Short Answer

Expert verified
The voltage needed to put \(1.6 \mathrm{mC}\) of charge on a \(100-\mu \mathrm{F}\) capacitor is \(16 \mathrm{V}\).

Step by step solution

01

Identify the given variables

The exercise provides the values for the charge \(Q = 1.6 \mathrm{mC} = 1.6 \times 10^{-3} \mathrm{C}\) and the capacitance \(C = 100 \mu \mathrm{F} = 100 \times 10^{-6} \mathrm{F}\).
02

Adjust the formula to solve for voltage

The formula for the charge stored in a capacitor is \(Q = CV\). To find voltage, the formula should be rearranged as \(V = \frac{Q}{C}\).
03

Substitute the given values into the formula

Substituting the given values into the formula gives \(V = \frac{1.6 \times 10^{-3}}{100 \times 10^{-6}}\).
04

Calculate the voltage

Evaluating the expression, the voltage \(V\) is found to be \(16 \mathrm{V}\).

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Most popular questions from this chapter

An uncharged capacitor has parallel plates \(5.0 \mathrm{cm}\) on a side, spaced \(1.2 \mathrm{mm}\) apart. (a) How much work is required to transfer \(7.2 \mu \mathrm{C}\) from one plate to the other? (b) How much work is required to transfer an additional \(7.2 \mu \mathrm{C} ?\)

An unknown capacitor \(C\) is connected in series with a \(3.0-\mu \mathrm{F}\) capacitor; this pair is placed in parallel with a 1.0 - \(\mu\) F capacitor, and the entire combination is put in series with a \(2.0-\mu \mathrm{F}\) capacitor. (a) Make a circuit diagram of this network. (b) When a potential difference of \(100 \mathrm{V}\) is applied across the open ends of the network, the total energy stored in all the capacitors is \(5.8 \mathrm{mJ} .\) Find \(C\).

Your company is still stuck with those 2 - \(\mu\) F capacitors from Problem 50. They turn out to be so cheap that their capacitances are all too low, ranging from \(1.7 \mu \mathrm{F}\) to \(1.9 \mu \mathrm{F}\). A colleague suggests you put variable "trimmer" capacitors in parallel with the cheap capacitors and adjust the combination to precisely \(2.00 \mu \mathrm{F} .\) The available trimmers have variable capacitance from \(25 \mathrm{nF}\) to \(350 \mathrm{nF}\). Will they work?

A camera requires \(5.0 \mathrm{J}\) of energy for a flash lasting \(1.0 \mathrm{ms}\). (a) What power does the flashtube use while it's flashing? (b) If the flashtube operates at \(200 \mathrm{V},\) what size capacitor is needed to supply the flash energy? (c) If the flashtube is fired once every \(10 \mathrm{s},\) what's its average power consumption?

Two positive point charges are infinitely far apart. Is it possible, using a finite amount of work, to move them until they're a small distance \(d\) apart?
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