### Figure 1: Circuit DiagramsThe image contains two circuit diagrams labeled (A) and (B).#### Diagram (A)- **Components:** - A switch labeled “S.” - A 6V battery. - Two resistors, each with a resistance of 1Ω. - A capacitor with a capacitance of 1F.- **Configuration:** - The switch “S” is open in the diagram. - The 6V battery is placed in series with one of the 1Ω resistors. - The capacitor is connected in parallel with the second 1Ω resistor.#### Diagram (B)- **Components:** - A switch labeled “S.” - A 6V battery. - Three resistors with resistances of 4Ω, 8Ω, and 2Ω. - A capacitor with a capacitance of 1F.- **Configuration:** - The switch “S” is open in the diagram. - The 6V battery is placed in series with the 4Ω resistor. - The capacitor is connected in parallel with the 8Ω resistor. - The 2Ω resistor is also connected in parallel within the main circuit loop.These diagrams represent basic RC (resistor-capacitor) circuits, demonstrating series and parallel configurations for educational analysis of electrical circuits. 2. Refer to figure 1.B. The capacitor is initially uncharged. The switch S is closed at t = 0.Since the capacitor at t = 0⁺ behaves like a conducting wire (with zero resistance) and at t → ∞ like an open circuit (with infinite resistance):(a) The effective resistance of the circuit at t = 0⁺ is: \( 4 + \frac{(2)(8)}{2+8} = 5.6Ω \) (True, False)(b) After a very long time (t → ∞) the effective resistance of the circuit is: \( 4 + 2 = 6Ω \) (True, False)(c) At t = 0⁺ the voltages across the 8Ω resistor and 2Ω resistor are the same. (True, False)(d) At t = 0⁺ the voltage across 4Ω, 8Ω, and 2Ω resistors are 4.3V, 1.7V, and 1.7V respectively. (True, False)(e) At t → ∞ the voltage across the 8Ω resistor is zero because the capacitor is fully charged and lets no current pass through it (behaves like an open circuit). (True, False)(f) At t → ∞ the current is \( \frac{6V}{(2+4)Ω} = 1A \). (True, False)(g) At t → ∞ the voltage across the 2Ω is 2V. (True, False)(h) At t → ∞ the voltage across the 1F capacitor is 2V. (True, False)

Answer: a) As per the given Data, The Effective resistance is calculated when the switch is…

2. Refer to figure 1.B . The capacitor is initially uncharged. The switch S is closed at t = 0. Since the capacitor at t = 0+ behaves like a conducting wire[with zero resistance] and at t → 0o like an open circuit[ with infinite resistance]: (a) The effective resistance of the circuit at t = 0+ is: 4+ S = 5.6N (2)(8) (True, False) (b) After a very long time (t - o0) the effective resistance of the circuit is: 4 + 2 = 62 (True, False) (c) At t = 0+ the voltages across the 82 resistor and 22 resistor are the same. (True, False)

2. Refer to figure 1.B . The capacitor is initially uncharged. The switch S is closed at t = 0. Since the capacitor at t = 0+ behaves like a conducting wire[with zero resistance] and at t → 0o like an open circuit[ with infinite resistance]: (a) The effective resistance of the circuit at t = 0+ is: 4+ S = 5.6N (2)(8) (True, False) (b) After a very long time (t - o0) the effective resistance of the circuit is: 4 + 2 = 62 (True, False) (c) At t = 0+ the voltages across the 82 resistor and 22 resistor are the same. (True, False)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The…

Q: 1. The capacitor in the figure is initially uncharged and the switch is at position c and not…

A: Direct current cannot flow through a capacitor. Let Q be the charge on the capacitor at any instant…

Q: 9. In the circuit shown, assume the battery emf is 20.0 V, R = 1.00M, and C= 2.00µF. The switch is…

A: Given value--- EMF = 20 V. R = 2 M ohm. C = 2 micro F. We have to find--- At what time t will the…

Q: R1 is 150 ohms, and R2 is 220 ohms. (150 +220 = 370). In a series circuit, the current is the same…

A: Use Ohm’s law to determine the current (I) in the circuit. Since the resistance R1 and R2 are…

Q: A charged capacitor is connected to a resistor and a switch as in the figure below. The circuit has…

A: Given that The time constant of the circuit is (T) = 2.5s The charge on the…

Q: Problem 2: Acapacitor of capacitance C = 4.5 µF is initially uncharged. It is connected in C series…

Q: 2. For the circuit shown 1.20 MQ to the right (NOTE: “M" means 106)... S + 50.0 V 600 k2 2.50 µl a.…

Q: (a) Find the voltage in the capacitor as a function of time t, assuming there is initially no…

Q: 12. Charge stored in a capacitor is Q = 13. Power delivered to a circuit by the battery is P = 14.…

A: The charge stored in a capacitor is product of potential difference and capacitance, i.e. Q=CV

Q: Part of an MRI machine circuit board contains four resistors in series. The resistances are 10, 20,…

A: If have any doubt feel free to ask.

Q: 0. An RC circuit has a 12 volt battery, 6 M2 resistor, 3 uf capacitor, and a switch. The switch is…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. In the following circuit, the capacitor is initially discharged and R is 250kQ. How long after…

Q: 3. A circuit consists of a resistor (R=102), a voltage source (V=10 V), and three capacitors (Ci= 1…

Q: .565 A. What

Q: 3. Figure 3 shows a section of a circuit. The resistances are R1 = 2.0 N R2 = 4.0 N, and R3 = 6.0 N,…

A: Combination of resistances in a circuit:

Q: 4. Determine in the current in each resistor given that R1 = R2 = R3 = 112, the capacitance C = 0.5…

Q: A capacitor of capacitance C = 5.5 μF is initially uncharged. It is connected in series with a…

Q: and internal resist - circuit is 2.0 A

Q: 2. A parallel plat capacitor with C= 20 µF is being charged by a battery of &=12 V. If total…

A: Given that: Capacitance of the capacitor, C= 20 μF Source Voltage, ε=12 V Resistance, R= 5.2 kΩ We…

Q: 1. Initially, for the circuit shown above, the switch S is open and the capacitor charge is 80 µC.…

Q: Consider the circuit below. The capacitor has a capacitance of 11 mF and starts out uncharged. The…

Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

100%

### Figure 1: Circuit Diagrams

The image contains two circuit diagrams labeled (A) and (B).

#### Diagram (A)

- **Components:**
- A switch labeled “S.”
- A 6V battery.
- Two resistors, each with a resistance of 1Ω.
- A capacitor with a capacitance of 1F.

- **Configuration:**
- The switch “S” is open in the diagram.
- The 6V battery is placed in series with one of the 1Ω resistors.
- The capacitor is connected in parallel with the second 1Ω resistor.

#### Diagram (B)

- **Components:**
- A switch labeled “S.”
- A 6V battery.
- Three resistors with resistances of 4Ω, 8Ω, and 2Ω.
- A capacitor with a capacitance of 1F.

- **Configuration:**
- The switch “S” is open in the diagram.
- The 6V battery is placed in series with the 4Ω resistor.
- The capacitor is connected in parallel with the 8Ω resistor.
- The 2Ω resistor is also connected in parallel within the main circuit loop.

These diagrams represent basic RC (resistor-capacitor) circuits, demonstrating series and parallel configurations for educational analysis of electrical circuits.

2. Refer to figure 1.B. The capacitor is initially uncharged. The switch S is closed at t = 0.

Since the capacitor at t = 0⁺ behaves like a conducting wire (with zero resistance) and at t → ∞ like an open circuit (with infinite resistance):

(a) The effective resistance of the circuit at t = 0⁺ is: \( 4 + \frac{(2)(8)}{2+8} = 5.6Ω \) (True, False)

(b) After a very long time (t → ∞) the effective resistance of the circuit is: \( 4 + 2 = 6Ω \) (True, False)

(c) At t = 0⁺ the voltages across the 8Ω resistor and 2Ω resistor are the same. (True, False)

(d) At t = 0⁺ the voltage across 4Ω, 8Ω, and 2Ω resistors are 4.3V, 1.7V, and 1.7V respectively. (True, False)

(e) At t → ∞ the voltage across the 8Ω resistor is zero because the capacitor is fully charged and lets no current pass through it (behaves like an open circuit). (True, False)

(f) At t → ∞ the current is \( \frac{6V}{(2+4)Ω} = 1A \). (True, False)

(g) At t → ∞ the voltage across the 2Ω is 2V. (True, False)

(h) At t → ∞ the voltage across the 1F capacitor is 2V. (True, False)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

1. For the circuit to the right, let S Ri be 500 Ohms, R2 = 100 Ohms, and the capacitance of the capacitor equal to 10-6 F + 10.0 V R1 R2 a. Find the current in each branch of the circuit at t = 0 and t = infinity. b. Find the charge on the capacitor at t = infinity.
In the given circuit, is changes from 8 A to 10 A at t= 0, that is, is= [ 8u(-t) + 10u() ] A. Find v) and i(). is 0.5 H The current () = ( | De t) u) A. The voltage v1 = ( )e
The emfs in the figure below are &₁ = 5.00 V and E2 = 18.0 V. The resistances are R₁ when the switch is in the following states. (a) open I1 = 0.188 I2 = 0.188 I3 = 0.188 14 = 0 I1 (b) closed R4 = I₂ = I3 = 14 A A A A A A X www R₁ R₂ ww R3 + E2 0.8285 Your response differs from the correct answer by more than 100%. A .106 Your response differs from the correct answer by more than 100%. A 18.00, R₂ = 30.5 , R3 = 47.50, and R4 58.0 . Find the magnitude of the current in each resistor
In the RC circuit shown in figure 1, R₁ = 20, R₂ = 49, V = 12 V and C= 5nF. The circuit has been running for a long time with the switch (S) open. Apply Kirchhoff's Loop Rule to calculate a) the current I while the switch S is still open. b) the charge on the capacitor a long time after the switch S is closed. 2 R₂ S R₁ | | I Figure 1: An RC circuit
The values of the components in a simple series RC circuit containing a switch and an initially uncharged capacitor (see figure below) are C = 1.50 µF, R = 2.30 MN, and E = 10.0 V. R (a) the charge on the capacitor... ...a long time after the switch is closed 900 = ..4.1 s after the switch is closed q = (b) the current in the resistor... ...immediately after the switch is closed In = HA ..4.1 s after the switch is closed I = HA ... a long time after the switch is closed I, = (c) The rate at which energy, 4.1 s after the switch is closed, is... ...being dissipated in the resistor Presistor = ...being stored in the capacitor Рсаpаcitor %3D µW
102 C 3. For the circuit at right, find: 102 Paralel (a) The current at pts. A, B, C, D, & E. The power dissipated by each resistor. (c) The power supplied by the battery. (d) The potential differences VB- VA, Vc- VB, VD-Vc, VE-VA. 100 V E
The capacitor in the circuit shown is fully charged by a 24 V battery. The switch is closed at t = 0. At sometime after the switch is closed, the voltage across the capacitor is measured to be 10 V. What is the current in the circuit at this time, in Ampere? C = 3.0 µF, and R = 2.0 02. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Cil
1F IF 6V 6 V 10 (A) (B) Figure 1:
4