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Chapter 26: Q. 27 (page 738)

What is the equivalent capacitance of the three capacitors in Figure EX26.27?

Short Answer

Expert verified

The equivalent capacitance of the three capacitors is $7.5 μ F$ .

Step by step solution

01

Given information

We need to find that the equivalent capacitance of thre capacitors.

02

Simplify

Consider that the capacitance of the two capacitors connected in parallel, to the left-bottom: their common capacitance will be

$C_{b} = 20 + 10 = 30 μ F$ .

From this, our problem is simplified to a $30 μ F$ capacitor connected in series with a $7.5 μ F$ one. That means, the total capacitance is

$C = \frac{30 \cdot 10^{- 6} \cdot 10 \cdot 10^{- 6}}{30 \cdot 10^{- 6} + 10 \cdot 10^{- 6}} = 7.5 μ F$

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Most popular questions from this chapter

An ideal parallel-plate capacitor has a uniform electric field between the plates, zero-field outside. By superposition, half the field strength is due to one plate and a half due to the other.

a. The plates of a parallel-plate capacitor are oppositely charged and attract each other. Find an expression in terms of $C, ∆ V_{c}$ and the plate separation $d$ for the force one plate exerts on the other.

b. What is the attractive force on each plate of a $100 pF$ capacitor with a plate spacing when $1.0 mm$ charged to $1000 V$ ?

What is the potential difference between $y_{i} = - 5 c m$ and $y_{f} = 5 c m$ in the uniform electric field $\vec{E} = (120, 000 \hat{i} - 50, 000 \hat{j}) V / m$ ?

To what potential should you charge a $1.0 m F$ capacitor to store $1.0 J$ of energy ?

What is the potential difference $∆ V_{34}$ in Figure EX26.16?

a. Find an expression for the capacitance of a spherical capacitor, consisting of concentric spherical shells of radii $R_{1}$ (inner shell) and $R_{2}$ (outer shell).

b. A spherical capacitor with a $1.0 mm$ gap between the shells has a capacitance of $100 pF$ . What are the diameters of the two spheres?

See all solutions

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