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15 problems tagged with Capacitor

Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics

P0847

Intermediate Electromagnetism › Electrostatics

Series Capacitors with Voltage Rating Limit

Two capacitors are rated as $C_1: 200\ \mathrm{pF}, 500\ \mathrm{V}$ and $C_2: 300\ \mathrm{pF}, 900\ \mathrm{V}$.

Can the two capacitors safely be connected in series and have a voltage of $1000$ V applied across the combination?
Capacitor

P0848

Intermediate Electromagnetism › Electrostatics

Pulling Apart Isolated Capacitor Plates

A parallel-plate capacitor has plate area $S$, separation $d$, and carries charge $Q$. The capacitor is isolated (disconnected from any source), and the plate separation is then doubled.

  1. By how much does the electrostatic energy change?
  2. How much work do external forces do against the electric force on the plates?
Capacitor

P0849

Intermediate Electromagnetism › Electrostatics

Pulling Apart Capacitor Plates at Constant Voltage

A parallel-plate capacitor with plate area $S$ and separation $d$ is connected to a constant-voltage source of voltage $U$. With the source remaining connected, the plate separation is doubled.

  1. By how much does the electrostatic energy stored in the capacitor change?
  2. How much energy is returned to the source during this process?
  3. How much work do external forces do against the electric force on the plates?
Capacitor

P0859

Intermediate Electromagnetism › Electrostatics

Building Capacitor Banks from Lower-Rated Units

A collection of identical capacitors is available; each has capacitance $2.0\ \mu\mathrm{F}$ and voltage rating $200$ V. They are to be combined to form (a) a capacitor of $C_1 = 0.40\ \mu\mathrm{F}$ rated $1000$ V, and (b) a capacitor of $C_2 = 1.2\ \mu\mathrm{F}$ rated $1000$ V.

  1. How many capacitors are needed and how should they be connected for $C_1 = 0.40\ \mu\mathrm{F}$, $1000$ V?
  2. How many capacitors are needed and how should they be connected for $C_2 = 1.2\ \mu\mathrm{F}$, $1000$ V?
Capacitor

P0860

Intermediate Electromagnetism › Electrostatics

Three-Capacitor Network with Breakdown Scenario

In the circuit in the Figure, $C_1 = 10\ \mu\mathrm{F}$, $C_2 = 5\ \mu\mathrm{F}$, and $C_3 = 5\ \mu\mathrm{F}$. $C_1$ and $C_2$ are connected in parallel between terminal $A$ and a middle node; that parallel combination is in series with $C_3$ from the middle node to terminal $B$.

  1. Find the equivalent capacitance between terminals $A$ and $B$.
  2. If a voltage of $100$ V is applied between $A$ and $B$, find the charge and voltage on $C_2$.
  3. Suppose $C_1$ is suddenly broken down (short-circuited) while the $100$ V is still applied. What are the charge and voltage on $C_3$ after the short occurs?
Capacitor

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