Please help with this bridge circuit question

In summary, for the bridge circuit shown, with resistors R1=150ohms, R2=50 ohms, R3=100ohms, R4=300 ohms, R5= 250 ohms, and voltage source E1=24V, you can solve for the current in each resistor and the equivalent resistance of the network by using Kirchoff loops and node equations. Alternatively, you can also look up the unbalanced Wheatstone bridge online for solved examples. Some attempt is required before seeking further help.
  • #1
jess_vander
3
0

Homework Statement


for the bridge circuit shown in the figure (see the attached file...question number 8), find the current in each resistor and also the equivalent resistance of the netowrk of five resistors. R1=150ohms, R2=50 ohms, R3=100ohms, R4=300 ohms, R5= 250 ohms, and E1=24V.

Homework Equations


im not even sure where to start for this question.
im very confused and i know that i have to create 5 equations in order to solve for the currents but I am not sure how to go about doing this.
any help would be greatly appreciated.


The Attempt at a Solution

 

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  • #2
You have a variety of choices as to how to solve this problem. Everything from Kirchoff loops or nodes, to thevenin transformations or Delta-Y transformation. Some attempt is required before help can be offered.
 
  • #3
The keyword here is the unbalanced Wheatstone bridge. Look it up on the net, there are solved examples out there.

EDIT: and yes, probably the simplest way is to apply Kirchoff loops and node equations.
 

1. What is a bridge circuit?

A bridge circuit is an electrical circuit that is used to measure resistance, reactance, and impedance. It consists of four arms, with two of them containing known resistors and the other two containing the unknown components to be measured.

2. How does a bridge circuit work?

A bridge circuit works by balancing the voltage and current in each arm of the circuit. When the bridge is balanced, there is no voltage difference between the two sides of the bridge, and the current in each arm is equal. This allows for the calculation of the unknown component's value.

3. What is the purpose of using a bridge circuit?

The main purpose of using a bridge circuit is to accurately measure the value of unknown components such as resistors, capacitors, and inductors. It is also used for testing the quality of electronic components and for measuring small changes in resistance.

4. How do you calculate the unknown component's value in a bridge circuit?

The unknown component's value can be calculated by using the formula: X = (R1/R2) * (R3/R4), where R1 and R2 are the known resistors and R3 and R4 are the unknown components. This formula is based on the principle of balancing the bridge circuit.

5. What are some common applications of bridge circuits?

Bridge circuits are commonly used in electronic equipment, such as multimeters, to measure the resistance of various components. They are also used in strain gauge sensors, which measure the strain or pressure applied to an object. Additionally, bridge circuits are used in audio equipment for volume and tone control, and in temperature sensors to measure changes in resistance caused by temperature changes.

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