Answered: Consider the following figure. B 15 = 1… | bartleby

Related questions

Question

# Understanding Bridge Circuits: An Educational Overview

## Bridge Circuit Analysis

Consider the following figure of a bridge circuit:

### Diagram Description:

The diagram illustrates a bridge circuit composed of certain resistors connected in a specific configuration. Here is the detailed breakdown of the arrangement:

- **Resistors:**
- **1 ohm** between points C and A.
- **2 ohms** between points C and D.
- **1 ohm** between points C and E.
- **2 ohms** between points B and E.
- **1 ohm** between points D and E.

- **Points:**
- **A, B, C, D, and E** are different points in the circuit.

- **Voltage Source:**
- A 14V voltage source is connected between points A and B.

- **Currents:**
- **I**: Total current provided by the voltage source.
- **I1, I2, I3, I4, I5**: Currents flowing through different branches of the circuit (as shown by the arrows).

### Questions and Calculations:

#### (a) Find the currents \( I, I_1, \ldots, I_5 \) in the bridge circuit in the figure.

**Solution Fields:**
- \( I = \) __ amps
- \( I_1 = \) __ amps
- \( I_2 = \) __ amps
- \( I_3 = \) __ amps
- \( I_4 = \) __ amps
- \( I_5 = \) __ amps

#### (b) Find the effective resistance of this network.

**Solution Field:**
- __ ohms

#### (c) Can you change the resistance in branch BC (but leave everything else unchanged) so that the current through branch CE becomes 0?

**Options:**
- [ ] Yes
- [ ] No

### Detailed Explanation:

**Bridge Circuit**: A bridge circuit is used to measure unknown resistances and consists of four resistances in a diamond shape with a voltage source connected across one diagonal and the measurement taken from the other diagonal.

To solve for currents and the effective resistance, you'll apply Kirchhoff's laws:
- **Kirchhoff's Voltage Law (KVL):** The sum of all voltages around any closed loop in a circuit must equal zero.
- **Kirchhoff

**Problem Statement:**

Consider the following figure:

*Diagram Description:*
The circuit diagram is a bridge network with the following resistances:
- Between A and B: 2 ohms.
- Between A and D: 1 ohm.
- Between C and E: 1 ohm.
- Between B and C: 1 ohm.
- Between D and E: 1 ohm.
- Between D and C: 2 ohms.

Markings on the circuit indicate the following currents:
- \( I \) is moving upwards from point E between A and B.
- \( I_1 \) is moving upwards from point A between A and B.
- \( I_2 \) is moving downwards from point C between D and B.
- \( I_3 \) is moving rightwards from point E towards point C.
- \( I_4 \) is moving leftwards from point D towards point B.
- \( I_5 \) is moving leftwards from point B towards point E.
- \( 14 \) volts is applied across A to B and B to D.

(a) Find the currents \( I, I_1, \ldots, I_5 \) in the bridge circuit in the figure.

\[
\begin{align*}
I & = \text{amps} \\
I_1 & = \text{amps} \\
I_2 & = \text{amps} \\
I_3 & = \text{amps} \\
I_4 & = \text{amps} \\
I_5 & = \text{amps}
\end{align*}
\]

(b) Find the effective resistance of this network.

\[
\text{Effective Resistance} = \text{ohms}
\]

(c) Can you change the resistance in branch \( BC \) (but leave everything else unchanged) so that the current through branch \( CE \) becomes 0?

\[
\text{Choices:}
\begin{itemize}
\item Yes
\item No
\end{itemize}
\]

Expert Solution

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

a) What is the equivalent resistance in this series circuit? b) What is the current in this circuit? c) What is the Power in amps used in this circuit. Recall P = I V, where P is power in Watts, I is current in Amps and V is voltage in Volts.
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
The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 10 7.5 5. 2.5 7 14 21 28 35 42 49 56 63 70 t(s) Determine the time constant of the RC circuit. TH If R= 802, determine C. C= MY NOTES
a) If the current in this circuit is 3 A, what must be the value of R3? b) What is the voltage drop across the 2 ohm resistor? c) What is the voltage drop across the 3 ohm resistor. d) What is the power used in the circuit in amps?
Consider the circuit in the diagram, with sources of emf listed below.Randomized Variablesℰ1 = 25 Vℰ2 = 46 Vℰ3 = 2.5 Vℰ4 = 31 V a.) Find I1 in amps. b.) Find I2 in amps. c.) Find I3 in amps.
Circuit Problem: Express each labelled voltage and current (e.g., vx, ix) in terms of the resistances and source currents and voltages (e.g., R0).
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.