**Electrical Circuit Analysis: Calculating Current through Resistors****Description of the Circuit:**The image depicts an electrical circuit with three resistors, R1, R2, and R3. These resistors are connected in a combination of series and parallel configurations with a power source.**Configuration:**- Resistor R1 (5 ohms) and Resistor R2 (3 ohms) are connected in series with each other.- Resistor R3 (7 ohms) is connected in parallel with the series combination of R1 and R2.**Given Values:**- R1 = 5 ohms- R2 = 3 ohms- R3 = 7 ohms**Additional Information:**- Power consumption of R2 = 12 W**Objective:**Calculate the current through Resistor R3.**Step-by-Step Solution:**1. **Determine the voltage across R2:** The power consumption formula is $ P = I^2 \cdot R $. Given that $ P = 12 \,W $ and $ R = 3 \, \Omega $ (for R2), \[ 12 = I_{R2}^2 \cdot 3 \] Solving for $ I_{R2} $: \[ I_{R2}^2 = \frac{12}{3} = 4 \] \[ I_{R2} = \sqrt{4} = 2 \,A \] Thus, the current through R2 is 2 A.2. **Calculate the voltage across R2 (V_R2):** Using Ohm's Law $ V = I \cdot R $: \[ V_{R2} = I_{R2} \cdot R2 = 2 \, A \cdot 3 \, \Omega = 6 \, V \]3. **Determine the voltage across R3 (V_R3):** Since R3 is in parallel with the series combination of R1 and R2, the voltage across R3 is the same as the voltage across the series combination (which is 6 V).4. **Calculate the current through R3 (I_R3):** Again, using Ohm's Law \( I = \frac

Given: Power, P2 =12 W Required: current through R3

Answered: R1 TE R3 ww R2 The values of the…

R1 TE R3 ww R2 The values of the resistors in this circuit are: R1 = 5 ohms R2 = 3 ohms R3 = 7 ohms The power consumption of R2 is 12 W. Calculate the current through R3.

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: What is the voltage across R5 of the circuit shown below ? R, = 200 R2 = 200 R3 = 120 R4 = 120 R5 =…

Q: Part b Calculate the current through resistor R₁. Give your answer in units of milliamperes. Please…

Q: Resistor and RC Circuits Problem 11: Consider the following circuit of three resistors (R1, R2, and…

A: Step 1:Step 2: Step 3: Step 4:

Q: 4 resistors are connected as shown in the figure. The total current passing through the circuit is…

A: Form Kirchhoff’s junction rule, the expression of the current at the junction toward side A is: In…

Q: a) Find the current in R1 resistor b) Find voltage across R3 resistor in volts

Q: A B ww In the circuit shown above, resistor A has three times the resistance of resistor B.…

A: GIven data The value of resistor A is three times the resistance of B: RA = 3RB In a series of…

Q: Three resistors in parallel have an equivalent resistance of 5.0 2. Two of the resistors have…

Q: A circuit calls for a 0.200 mm -diameter copper wire to be stretched between two points. You don't…

A: Given data: Diameter of cupper wire (dcu) = 0.200 mm The resistance and length is same for copper…

Q: cuit below, calculate the 2, R₂-4602, R3-240 52, V₁-16 V, V₂20 V, V3=16 V. er V₁ A. going through…

Q: Problem3 A. Consider the circuit shown below Rank the brightness of the bulbs. Use the symbols , and…

A: Given that:- Resistance of each bulb=2 ohm

Q: Can you help with 5a, 5b and 5c This is not and will not be graded 5a. In the circuit below the…

A: Given data The voltage is given as V = 6 V. The magnitude of resistance R1 = 4 Ω. The magnitude of…

Q: Figure E1 ww R₁ R₁ ww R3 < 1 of 1 ww R₂ E₂ B ▶ ▸ Y Review IP Find the current in each resistor in…

A: Given data:Circuit diagram:Here, is the current passing through , is the current passing through ,…

Q: 2 Which is a valid expression for the equivalent resistance for multiple resistors in series? O R =…

A: Let the resistors be R1, R2, R3,...

Q: A normal source of emf has some internal resistancerinside it, between its terminals. If a is the +…

A: Given that, Emf of the battery (E)= 12 v Internal resistance (r)= 0.02 ohm Current given to charge…

Q: Figure 28.0 V + + 3 www R ww 1₁ 6.00 Ω I, 3.00 Ω < 1 of 1

Q: Consider the circuit shown in (Figure 1). Suppose that R=7.0 kn. Figure m 1.0 μF R R 1 of 1 wwwwww…

A: The time constant determines the rate at which a capacitor charges or discharges through a resistor…

Q: Calculate the current through each of the six resistors in the following circuit. R₁ =22, R2= 1.592,…

A: Kirchhoff's current rule: According to this rule, the amount of current coming into the node is…

Q: the circuit shown above, determine the voltage of the source V1 if V2 = 38.5 V, R1 = 191 ohms, R2 =…

Q: What is the total resistance of the circuit if R1= 20 ohms, R2= 60 ohms, R3=100 ohms, R4= 40 ohms…

Question

**Electrical Circuit Analysis: Calculating Current through Resistors**

**Description of the Circuit:**
The image depicts an electrical circuit with three resistors, R1, R2, and R3. These resistors are connected in a combination of series and parallel configurations with a power source.

**Configuration:**
- Resistor R1 (5 ohms) and Resistor R2 (3 ohms) are connected in series with each other.
- Resistor R3 (7 ohms) is connected in parallel with the series combination of R1 and R2.

**Given Values:**
- R1 = 5 ohms
- R2 = 3 ohms
- R3 = 7 ohms

**Additional Information:**
- Power consumption of R2 = 12 W

**Objective:**
Calculate the current through Resistor R3.

**Step-by-Step Solution:**

1. **Determine the voltage across R2:**
The power consumption formula is $ P = I^2 \cdot R $.
Given that $ P = 12 \,W $ and $ R = 3 \, \Omega $ (for R2),
\[
12 = I_{R2}^2 \cdot 3
\]
Solving for $ I_{R2} $:
\[
I_{R2}^2 = \frac{12}{3} = 4
\]
\[
I_{R2} = \sqrt{4} = 2 \,A
\]
Thus, the current through R2 is 2 A.

2. **Calculate the voltage across R2 (V_R2):**
Using Ohm's Law $ V = I \cdot R $:
\[
V_{R2} = I_{R2} \cdot R2 = 2 \, A \cdot 3 \, \Omega = 6 \, V
\]

3. **Determine the voltage across R3 (V_R3):**
Since R3 is in parallel with the series combination of R1 and R2, the voltage across R3 is the same as the voltage across the series combination (which is 6 V).

4. **Calculate the current through R3 (I_R3):**
Again, using Ohm's Law \( I = \frac

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

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

IP Three resistors, R₁ = 30, R2 = 68 2, and R3 = R, are connected in parallel with a 12 V battery. Part A The total current flowing through the battery is 0.88 A. Find the value of resistance R. Express your answer using two significant figures. R= Submit Part B I1, I2, I3 = | ΑΣΦ Submit 3 Request Answer Find the current through each resistor. Enter your answers numerically separated by commas. Express your answers using two significant figures. [ΨΕΙ ΑΣΦ ? Request Answer Ω ? A
Current Attempt in Progress Each resistor in the three circuits in the drawing has the same resistance R, and the batteries have the same voltage V. The values for R and V are 80 and 6.0 V, respectively. Determine the total power delivered by the battery in each of the three circuits. R www R R R wwwww wwwwww R R R R wwwww wwwwww V V Circuit B Circuit A R www PA= ... i R R [www F V Circuit C
please help with 1 A Thank you
1 The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by the equation below, where R, R₁, and R₂ are measured in ohms. R₁ and R₂ are increasing at rates of 0.6 and 1.9 ohms per second, respectively. = 1/² + 12/2₂2 R₁ At what rate is R changing when R₁ ohm/sec R 55 ohms and R₂ = 88 ohms? (Round your answer to three decimal places.)
A.) Determine Reg for the combination of resistors shown below. R, = 600 N, R2 = 500 N, & R3 = 800 2. R1 R2 Reg R3
Q1/ R1= 5 k ohm R2=15 k ohm R3= 20 k ohm R4= 10 k ohm R5= 20 k ohm I = 5 mA Find: a) I1 , I2 , I3 , and IT . b) Total Resistance of the circuit. c) The voltage (V) and Power supplied(P) by the battery.
The circuit shown has two resistors, with R1 > R2 .Which resistor dissipates the larger amount of power? Explain.
R₁ (2TATC 2. Three resistors R₁-85.0 ohm, R₂= 22.1 ohm, R3= 70.0 ohm and two batteries E₁= 40.0 V and E2-255 V are connected as shown in the diagram below. Please write the loop equations to solve for I1, I2, I3. You don't need to solve the equations. www & www ww 133ATO R₁
In the picture below there are 2 electromotive force with a large voltage of 12.5 V and an internal resistance of 0.75 Ohm arranged in series. Furthermore, the circuit with a series of resistance as shown in the picture. EJ & R₁=852 B R=1602 ·m R$40 R₂=1602 mmm. R₁=802 Calculate : a. The total resistance of the circuit. b. Strong current generated www.