Q. 24 Two 2.00聽cm脳2.00聽cm plates th... [FREE SOLUTION]

Chapter 25: Q. 24 (page 710)

Two $2.00 c m 脳 2.00 c m$ plates that form a parallel-plate capacitor are charged to 0.708 nC. What are the electric field strength inside and the potential difference across the capacitor if the spacing between the plates is (a) 1.00 mm and (b) 2.00 mm?

Short Answer

Expert verified

The electric field strength inside = $2.5 脳 10^{5} V / m$ or the space difference 1 mm. The potential difference across the capacitor if

the spacing between the plates is 200 V for the space difference 1 mm.

The electric field strength inside= $2.5 脳 10^{5} V / m$ for the space difference 2 mm.

The potential difference across the capacitor if the spacing between the plates is 400 V for the space difference 2 mm.

Step by step solution

Definition of parallel plate of capacitor charge

Change the value of the d from mm to m is;

$m = 1.0 脳 10^{- 3} m$

As;

$E = \frac{Q}{蔚_{0} A}$

Hence;

$\begin{array}{rcl} Q & = & 0.708 脳 10^{- 9} C \\ 蔚_{0} & = & 8.85 脳 10^{- 12} C^{2} / N . m^{2} \\ A & = & 4.0 脳 10^{- 4} m^{- 2} \\ E & = & \frac{0.708 脳 10^{- 9} C}{8.85 脳 10^{- 12} C^{2} / N . m^{2} 脳 4.0 脳 10^{- 4} m^{- 2}} \\ = & 2.0 脳 10^{5} V / m \end{array}$

The electric field strength inside = $2.0 脳 10^{5} V / m$

For the space difference 1 mm.

The equation of potential difference across the capacitor if the spacing between the plates is

$\begin{array}{rcl} 鈭� V_{c} & = & E . d \\ E & = & 2.0 脳 10^{5} V / m \\ d & = & 1.0 脳 10^{- 3} m \\ 鈭� V_{c} & = & 2.0 脳 10^{5} V / m 脳 1.0 脳 10^{- 3} m \\ = & 200 V \end{array}$

Define the electric field

strength inside and the potential difference

Change the value of the d from mm to m

$2.0 脳 10^{- 3} m$

So, the equation of Q is

The equation of potential difference across the capacitor if the spacing between the plates is

$\begin{array}{rcl} 鈭� V_{c} & = & E . d \\ E & = & 2.0 脳 10^{5} V / m \\ d & = & 1.0 脳 10^{- 3} m \\ 鈭� V_{c} & = & 2.0 脳 10^{5} V / m 脳 2.0 脳 10^{- 3} m \\ = & 400 V \end{array}$

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91影视

Two $2.00 c m 脳 2.00 c m$ plates that form a parallel-plate capacitor are charged to 0.708 nC. What are the electric field strength inside and the potential difference across the capacitor if the spacing between the plates is (a) 1.00 mm and (b) 2.00 mm?

Short Answer

Step by step solution

Definition of parallel plate of capacitor charge

Define the electric field

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91影视

Two 2.00cm脳2.00cm plates that form a parallel-plate capacitor are charged to 0.708 nC. What are the electric field strength inside and the potential difference across the capacitor if the spacing between the plates is (a) 1.00 mm and (b) 2.00 mm?

Short Answer

Step by step solution

Definition of parallel plate of capacitor charge

Define the electric field

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Further Mechanics and Thermal Physics

Torque and Rotational Motion

Kinematics Physics

Physical Quantities And Units

Fields in Physics

Electricity

Study anywhere. Anytime. Across all devices.

Two $2.00 c m 脳 2.00 c m$ plates that form a parallel-plate capacitor are charged to 0.708 nC. What are the electric field strength inside and the potential difference across the capacitor if the spacing between the plates is (a) 1.00 mm and (b) 2.00 mm?