A circuit has resistors R1=R2=R3=R4=5.00Ω and R5= 6.00Ω connected to an ideal battery of emf = 12.0V. Determine the equivalent resistance of the circuit.

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A circuit has resistors R1=R2=R3=R4=5.00Ω and R5= 6.00Ω connected to an ideal battery of emf = 12.0V. Determine the equivalent resistance of the circuit.

This image depicts a Wheatstone bridge circuit, a classic example in electrical engineering used to measure unknown resistances. 

**Components:**

- **Power Source (ε):** The circuit includes a battery or power source represented by the symbol (ε). It provides the voltage needed to drive the current through the circuit.

- **Resistors (R₁, R₂, R₃, R₄, R₅):** There are five resistors labeled R₁, R₂, R₃, R₄, and R₅. The resistors are arranged in a diamond shape, with R₃ placed in the middle.

**Configuration:**

1. **Top Branch:** Consists of resistors R₁ and R₂.
2. **Middle Bridge:** Contains resistor R₃.
3. **Bottom Branch:** Includes resistors R₄ and R₅.

**Functionality:**

- The Wheatstone bridge is balanced when the ratio of the resistances in one branch is equal to the ratio of resistances in the other branch. This balanced condition can be mathematically expressed as:
  
  \[
  \frac{R₁}{R₂} = \frac{R₄}{R₅}
  \]

- When balanced, the middle resistor (R₃) has no current passing through it, allowing for the calculation of unknown resistance when the other three are known.
Transcribed Image Text:This image depicts a Wheatstone bridge circuit, a classic example in electrical engineering used to measure unknown resistances. **Components:** - **Power Source (ε):** The circuit includes a battery or power source represented by the symbol (ε). It provides the voltage needed to drive the current through the circuit. - **Resistors (R₁, R₂, R₃, R₄, R₅):** There are five resistors labeled R₁, R₂, R₃, R₄, and R₅. The resistors are arranged in a diamond shape, with R₃ placed in the middle. **Configuration:** 1. **Top Branch:** Consists of resistors R₁ and R₂. 2. **Middle Bridge:** Contains resistor R₃. 3. **Bottom Branch:** Includes resistors R₄ and R₅. **Functionality:** - The Wheatstone bridge is balanced when the ratio of the resistances in one branch is equal to the ratio of resistances in the other branch. This balanced condition can be mathematically expressed as: \[ \frac{R₁}{R₂} = \frac{R₄}{R₅} \] - When balanced, the middle resistor (R₃) has no current passing through it, allowing for the calculation of unknown resistance when the other three are known.
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