Chapter 27: Q96P (page 802)

Figure 27-63 shows an ideal battery of emf e= 12V, a resistor of resistance $R = 4.0 Ω$ ,and an uncharged capacitor of capacitance $C = 4.0 μF$ . After switch S is closed, what is the current through the resistor when the charge on the capacitor $8.0 μC$ ?

Short Answer

Expert verified

The current through the resistor when the charge on the capacitor $8.0 μ C$ is I=2.50A .

Step by step solution

Write the given quantities

$e = 12 V R = 4.0 Ω C = 4.0 μ F q = 8.0 μ C$

Determine the concept of capacitance and Ohm’s law

Voltage across capacitance depends on charge and capacitance. According to Ohm’s law, current is directly proportional to potential difference across a circuit's ends.

Formulae:

Voltage across capacitance C is as follows:

$V_{C} = \frac{q}{C}$

Current across resistance R is as follows:
role="math" localid="1662365364559" $i_{R} = \frac{V_{R}}{R}$

Determine the value of current through the capacitance:

Voltage across capacitance C is .

$V_{c} = \frac{8 \times 10^{- 6}}{4 \times 10^{- 6}}$

Voltage across R is V_R = e - V_c.

V_R= 12-2

=10V

Hence, current through resistance R

$i_{R} = \frac{V_{R}}{R}$

Substitute the values and solve as:

$i_{R} = \frac{10}{4} = 2.50 A$

The current through the resistor when the charge on the capacitor $8.0 μ C$ is I=2.50A

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Figure 27-63 shows an ideal battery of emf e= 12V, a resistor of resistance $R = 4.0 Ω$ ,and an uncharged capacitor of capacitance $C = 4.0 μF$ . After switch S is closed, what is the current through the resistor when the charge on the capacitor $8.0 μC$ ?

Short Answer

Step by step solution

Write the given quantities

Determine the concept of capacitance and Ohm’s law

Determine the value of current through the capacitance:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Electricity and Magnetism

Magnetism and Electromagnetic Induction

Linear Momentum

Conservation of Energy and Momentum

Kinematics Physics

Study anywhere. Anytime. Across all devices.

Figure 27-63 shows an ideal battery of emf e= 12V, a resistor of resistanceR=4.0Ω,and an uncharged capacitor of capacitance C=4.0μF . After switch S is closed, what is the current through the resistor when the charge on the capacitor 8.0μC?

Short Answer

Step by step solution

Write the given quantities

Determine the concept of capacitance and Ohm’s law

Determine the value of current through the capacitance:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Electricity and Magnetism

Magnetism and Electromagnetic Induction

Linear Momentum

Conservation of Energy and Momentum

Kinematics Physics

Study anywhere. Anytime. Across all devices.

Figure 27-63 shows an ideal battery of emf e= 12V, a resistor of resistance $R = 4.0 Ω$ ,and an uncharged capacitor of capacitance $C = 4.0 μF$ . After switch S is closed, what is the current through the resistor when the charge on the capacitor $8.0 μC$ ?