**Using Kirchhoff's rules, find the following.** $(\mathcal{E}_1 = 70.2 \, \text{V}, \, \mathcal{E}_2 = 61.6 \, \text{V}, \, \text{and} \, \mathcal{E}_3 = 78.6 \, \text{V}.)$**Diagram Explanation:**- This is a circuit diagram with three EMF sources ($\mathcal{E}_1, \mathcal{E}_2, \mathcal{E}_3$) and three resistors ($R_1, R_2, R_3$).- $ \mathcal{E}_1 $ is connected between points a and b.- $ \mathcal{E}_2 $ is connected between points c and d.- $ \mathcal{E}_3 $ is connected between points d and e.- $ R_1 = 2.00 \, \text{k}\Omega $ is connected between points a and f.- $ R_2 = 3.00 \, \text{k}\Omega $ is connected between points c and f.- $ R_3 = 4.00 \, \text{k}\Omega $ is connected between points c and d.**Questions:**(a) **The current in each resistor shown in the figure above**- $I_{R_1} = $ _____ mA- $I_{R_2} = $ _____ mA- $I_{R_3} = $ _____ mA(b) **The potential difference between points c and f**- Magnitude of potential difference: _____ V- Point at higher potential: [Select] This topic uses Kirchhoff’s circuit laws to determine the currents through and voltages across various components in the circuit.

Answered: Image /qna-images/answer/c9be17da-da3a-43fc-9a5e-7ecbd0301e5f.jpg

= 70.2 V, 8, = 61.6 V, and 8, = 78.6 V.) Using Kirchhoff's rules, find the following. (8, 4.00 kN d |E1 |E2 E3 R3 R2 3.00 kN 2.00 kN a R1 (a) the current in each resistor shown in the figure above IR IR2 IR3 (b) the potential difference between points c and f V magnitude of potential difference ---Select--- point at higher potential

= 70.2 V, 8, = 61.6 V, and 8, = 78.6 V.) Using Kirchhoff's rules, find the following. (8, 4.00 kN d |E1 |E2 E3 R3 R2 3.00 kN 2.00 kN a R1 (a) the current in each resistor shown in the figure above IR IR2 IR3 (b) the potential difference between points c and f V magnitude of potential difference ---Select--- point at higher potential

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: In the circuit shown, R, = 3 N, R2 = 2 N, R3 = 5 0, ɛ, = 4 V, ɛ2 = 10 V and ɛz = 6 V. Find the…

Q: Gold and iron wires of equal length are found to have the same resistance. What is the ratio of…

Q: Using Kirchhoff's rules, find the following. (₁ = 70.7 V, ₂ = 60.9 V, and 3 = 78.7 V.) 4.00 kn www…

Q: Given the circuit below: 2.00 N 8.00 N 6.00 V + 3.00 V 9.00 V 4.00 N What is the current (in A)…

Q: A current of 6.0 A flows through an electrical device for 10 seconds. How many electrons flow…

A: Given that,Current : i = 6 (A)Time : t = 10 (sec)The charge of electron : e = 1.6×10-19 (C)Here we…

Q: In the left figure, create two formulations/equations of the currents IT, I1, I2, & I3 using the…

Q: See the circuit below. (a) Find the current I, I2, I3 in the circuit. (b) What is he potential…

A: Given- Resistance (R1) = 4Ω Resistance (R2) = 6Ω Resistance (R3) = 2Ω I3 = I2+I1

Q: Ex (H. W) Determine the current supplied by each Battery in the Grcuit 42 5 V 22 30 V 20 V- svT 5 V…

A: Let us assume that current flows in anticlockwise direction in each loop shown in the diagram…

Q: Three resistors R1 = 88.5 N, R2 = 21.1 N, R3 = 70.0 N, and two batteries E, = 40.0 v, and E, = 364 V…

Q: Consider the circuit shown in the figure below. (Assume R, 13.5 N and R, 7.50 Ω.) b 25.0 V R2 R2 R E…

A: Given : R1=13.5 Ω R2=7.50 Ω

Q: For the circuit below. (Hint, the total current flowing into and out of any node must be zero.)…

A: Here, we use Kirchhoff's Junction law to get the currents shown in the figure.

Q: In the circuit below the Vo equals 18 V, V1 = 27, R1 = 3 € and R2 = 3 €. Determine the current…

Q: What is the equivalent resistance between points B and A? Also find current of the resistor R1 when…

Q: R1 R2 R3 E2 E1 1. Find the currents through each resistor given that R1 = 3N, R2 R3 = 22. The…

Q: What is the current flowing into the 3-ohm resistor? 2.00 N + 18.0 V 3.00N 1.00 N 4.00 N

A: Solution:-Given that

Q: Two 23.0 cm long parallel wires in the diagram above are separated by 4.50 mm. For what value of the…

A: Write the given values with suitable variables. l=23 cm=0.23 mr=4.50 mm=4.5×10-3 mF=2.5×10-5 NV1=12…

Q: Determine the total charge of the entire circuit.

A: The charge stored in a capacitor connected to a voltage source is given by Q = CV, where C = the…

Q: The rod in the Figure shown below is TO has a square cross section 6.0 mm on a side. T. the…

A: Given-The resistivity of the conductor ρ=3×10-3Ω.mLength L=25 cm=0.25 md=6mm=6×10-3 mSo, Area…

Q: R, 3. R2 R3

A: The resistance given are R1=22 kilo ohm=22×103 ohmR2=11 kilo ohm=11×103 ohmR3=11 kilo ohm=11×103…

Q: Three resistors R, = 89.2 N, R, = 23.0 N, R, = 70.0 N, and two batteries E, = 40.0 V, and E, = 366 V…

Q: 2 3 4 R2 R3 1 ko 9 V R1 10 kn 2 ko 8 7 5 ww

A: We have to find the thevenin Voltage and current here

Q: Calculate 11, 12, 13, V3 and RT.

Q: What is the magnitude of the current through R3? What is the magnitude of the current through R2?…

Q: ii) Find the potential difference pass through R1 and R2.

Q: 3) The current in the 8.00 0 resistor in the drawing is 1.1 A. Find the current in a) the 20.0 Q…

A: Given : R1=8 ohm R2=16 ohm R3=9 ohm R4=18 ohm R5=20 ohm Current in 8 ohm resistor = I1 = 1.1 A We…

Q: Find the currents through each branch of the circuit in the figure. B D R = 4.0 2 R2 = 6.0 2 R1 R2…

Q: Question: If a current of 64 A is running through point a, what is the potential difference between…

A: Given data: Current through point a (I) = 64 A Resistance (R1) = 6.7 Ω Required: Potential…

Q: Three resistors R, = 81.1 N, R, = 22.2 n, R, = 70.0 N, and two batteries E, = 40.0 V, and E, = 354 V…

A: E1=40 V E2=354 V

Q: Node 1 12 Node 2 1. The current II is equal to 2. The current 12 is equal to 3. The current 13 is…

Q: n the figure, R1= 30, R2= 62, and R3= 52. The current through I2 through R2is 4.00 A. Determine the…

Q: Question: Find the current through each resistor in the following circuit if the components are a…

Q: Consider the circuit shown in the figure, where ɛ, = 22.7 V, E, = 12.3 V, and R = 14.0 Q. (Due to…

Q: A 2.2 mm diameter wire carries a 14 A current when the electric field is 6.7x10^-2 V/m. What is the…

A: Given data: Diameter (d) = 2.2 mm = 2.2×10-3 m Current (I) = 14 A Electric field (E) = 6.7×10-2 V/m…

Q: Find the current through the resistor R3 given that V=12.0V, R1=4.73Ω, R2=9.46Ω, R3=23.65Ω, and…

A: Given data The potential difference across the battery is V = 12 V The magnitude of the resistance…

Q: The circuit in the figure is composed of two batteries (E₁ = 9 V and 25 V) and four resistors (R₁ =…

Q: A current of 1 A flows through a copper wire. Number of electrons which will pass a given point in…

A: Given,current i = 1Awe have to find the no of electrons that pass through a given point in one…

Q: Find the unknown currents using Kirchhoff's Current and Voltage Law. Then, determine the voltage…

Q: A 4 A fuse wire can withstand a maximum power of 3 W in circuit. The resistance of the fuse wire is:…

Q: Switch S1 has been closed and $2 has open for a long time until the capacitors are fully charged. At…

Q: Find the potential difference across the 25 N resistor.

Q: Three resistors R, = 89.7 N, R, = 21.5 N, R, = 70.0 N, and two batteries E, = 40.0 V, and ɛ, = 364 V…

A: Given, R1=89.7Ω,R2=21.5Ω,R3=70Ω,ε1=40V,ε2=364V…

Q: A block in the shape of a rectangular solid has a cross-sectional area of 4.91 cm? across Its width,…

A: Given: Area, A=4.91cm2=4.91×10-4m2Length, L=12.2cm=12.2×10-2mResistance, R=1020ΩConcentration of…

Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

Path of Least Resistance

In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

**Using Kirchhoff's rules, find the following.** $(\mathcal{E}_1 = 70.2 \, \text{V}, \, \mathcal{E}_2 = 61.6 \, \text{V}, \, \text{and} \, \mathcal{E}_3 = 78.6 \, \text{V}.)$

**Diagram Explanation:**

- This is a circuit diagram with three EMF sources ($\mathcal{E}_1, \mathcal{E}_2, \mathcal{E}_3$) and three resistors ($R_1, R_2, R_3$).
- $ \mathcal{E}_1 $ is connected between points a and b.
- $ \mathcal{E}_2 $ is connected between points c and d.
- $ \mathcal{E}_3 $ is connected between points d and e.
- $ R_1 = 2.00 \, \text{k}\Omega $ is connected between points a and f.
- $ R_2 = 3.00 \, \text{k}\Omega $ is connected between points c and f.
- $ R_3 = 4.00 \, \text{k}\Omega $ is connected between points c and d.

**Questions:**

(a) **The current in each resistor shown in the figure above**

- $I_{R_1} = $ _____ mA
- $I_{R_2} = $ _____ mA
- $I_{R_3} = $ _____ mA

(b) **The potential difference between points c and f**

- Magnitude of potential difference: _____ V
- Point at higher potential: [Select]

This topic uses Kirchhoff’s circuit laws to determine the currents through and voltages across various components in the circuit.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Henryetta is an electrician. She has been given the circuit below by her boss. Help her find the the the value and direction of the current in each resistor 12.0 V 가 12.0 V 6.00 2 4.00 2 m 6.00 n
Can you please help me with both, greatly appreciated!
Find Iz in the circuit below. Use units (A), please. R, b a 20 2 1, 82 0.5 2 R2 62 E3 12 V 18 V E2 3.0 V 0.5 2 0.25 2 E4 R4 e 15 2 0.75 2 24 vl
I would like help with 4a. I got -310 but I think I did it wrong....
ANSWER THE FF and SHOW COMPLETE SOLN: a.) An aluminum sheet of thickness 8.3 cm and area 13 m^2 is welded on top of a brass sheet of the same thickness and area. The thermal conductivities of aluminum and brass are 205 W/m·K and 109 W/m·K, respectively. The aluminum end is kept at 20 °C while the brass end is kept at 30 °C. At the moment when the interface temperature is 24 °C, what is the heat current through the brass sheet? (answer for this is: 102 kW) b.) A 10.0-cm long steel rod is welded end to end to a 20.0-cm long copper rod of the same cross-sectionalarea. The thermal conductivities of steel and copper are 50.2 W/m·K and 385 W/m·K, respectively. The steel endis kept at 100 °C while the copper end is kept at 0 °C. What is the steady-state temperature at the interfaceconnecting the two rods? (answer for this is 20.7 °C)
Consider the following figure. (Assume V = 14 V, R1 = 2.3 Ω, and R2 = 1.6 Ω.) Calculate each of the unknown currents I1, I2, and I3 for the circuit. (Give the magnitude of the current only.)
Three resistors R, = 88.7 N, R2 = 21.2 N, R3 = 70.0 N, and two batteries &, = 40.0 V, and E, = 360 V are connected as shown in the diagram below. R1 R2 R3 E2- (a) What current flows through R,, R2, and R3? I = A I2 = A I3 A (b) What is the absolute value of the potential difference across R,, R2, and R3? V JAVR2 V JAVR3| = | V
Determine the currents IA, IB, and IC based on the given directions in the drawing. R3 = 1.20 2 Ic =? R2= 0.0100 Ig e E, = 12. 00V R, = 0. 100 2 E= 14.00 V I, - ?
Two batteries with emf &₁ and E2, with internal resistances ₁ and ₂ respectively, are connected as shown in the diagram below. (Assume ₁ = 12 V and r₁=1 N.) | www (a) Calculate the magnitude and indicate the direction of flow of current in the figure shown above. E₂ = 33.0 V and r₂ = 0.65 0. 60 X What is the net voltage when the two batteries are connected in opposition to each other? What is the net internal resistance of this circuit? A counterclockwise magnitude direction (b) Find the terminal voltage of each battery. V₁ = 48 X What is the sign of the current if it is flowing into the positive terminal of the battery? V V₂ = 6 X What is the sign of the current if it is flowing into the positive terminal of the battery? V
Plz solve
Directions: Solve for the given problems. Round off all your final answers inthe proper number of significant figures.Find all the individual currents and individual voltages in Figure 2
Three resistors R₁ = 89.5, R₂ = 22.32, R = 70.00, and two batteries &₁ = 40.0 V, and E₂ 359 V are connected as shown in the diagram below. R₂ www Reading 50 Additional Materials ww (a) What current flows through R₁, R₂, and R₂? 4- A 1₂ = A 13= ww (b) What is the absolute value of the potential difference across R₁, R₂, and R₂? AVR- V AVRz1 = V AVR3|= V