Chapter 19: Q63PE (page 698)

(a) What is the energy stored in the $10.0 μF$ capacitor of a heartdefibrillator charged to $9.00 \times 10^{3} V$ ? (b) Find the amount of storedcharge.

Short Answer

Expert verified

The stored energy is 405 J.
The charge stored is 0.09 C

Step by step solution

Given Data

The capacitance of the capacitor is:

$\begin{array}{rcl} C & = & (10.0 μF) (\frac{1 F}{10^{6} μF}) \\ = & 10.0 \times 10^{- 6} F \end{array}$

The voltage between the capacitor plates is: $ΔV = 9.00 \times 10^{3} V$

Calculating for part (a) energy of capacitor

The stored energy for a capacitor of capacitancewith a potential difference between the platesis given by:

$U_{E} = \frac{1}{2} C {(ΔV)}^{2}$

The capacitance C is defined as charge stored per unit potential difference

$C = \frac{Q}{(ΔV)}$

Thus, entering the values of C and $(Δ V)$ , we obtain:

$\begin{array}{rcl} U_{E} & = & \frac{1}{2} (10.0 \times 10^{- 6} F) (9.00 \times 10^{3} V) \\ = & 405 J \end{array}$

Therefore, stored energy isrole="math" localid="1654921309243" $U_{E} = 405 J$

Calculating for part (b), stored charge

The stored charge is given as

$Q = C \times Δ V$

Substitute numerical values:

$Q= (10.0 \times 10^{- 6} F) (9.00 \times 10^{3} V) = 0 .09 C$

Therefore, the charge accumulated on capacitor plates islocalid="1654921503322" $Q = 0.09 C$

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(a) What is the energy stored in the $10.0 μF$ capacitor of a heartdefibrillator charged to $9.00 \times 10^{3} V$ ? (b) Find the amount of storedcharge.

Short Answer

Step by step solution

Given Data

Calculating for part (a) energy of capacitor

Calculating for part (b), stored charge

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(a) What is the energy stored in the 10.0μFcapacitor of a heartdefibrillator charged to 9.00×103V? (b) Find the amount of storedcharge.

Short Answer

Step by step solution

Given Data

Calculating for part (a) energy of capacitor

Calculating for part (b), stored charge

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Atoms and Radioactivity

Physical Quantities And Units

Translational Dynamics

Rotational Dynamics

Solid State Physics

Study anywhere. Anytime. Across all devices.

(a) What is the energy stored in the $10.0 μF$ capacitor of a heartdefibrillator charged to $9.00 \times 10^{3} V$ ? (b) Find the amount of storedcharge.