2. For a real battery of emf E and an internal resistance of r, find the "load resistance" RL which maximizes the power delivered to that load.

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**Question:**

2. For a real battery of emf \( E \) and an internal resistance of \( r \), find the "load resistance" \( R_L \) which maximizes the power delivered to that load.

**Explanation:**
This problem involves finding the condition under which the power delivered by a real battery to an external load is maximized. Here, \( E \) represents the electromotive force (emf) of the battery, and \( r \) is the internal resistance.

To determine the optimal load resistance \( R_L \), we can use the Maximum Power Transfer Theorem. This theorem states that maximum power is delivered to the load when the load resistance \( R_L \) is equal to the internal resistance \( r \) of the battery.

In mathematical terms:

\[ R_L = r \]

This concept is crucial in electrical engineering and circuit design, as it helps in designing systems for optimal power efficiency.
Transcribed Image Text:**Question:** 2. For a real battery of emf \( E \) and an internal resistance of \( r \), find the "load resistance" \( R_L \) which maximizes the power delivered to that load. **Explanation:** This problem involves finding the condition under which the power delivered by a real battery to an external load is maximized. Here, \( E \) represents the electromotive force (emf) of the battery, and \( r \) is the internal resistance. To determine the optimal load resistance \( R_L \), we can use the Maximum Power Transfer Theorem. This theorem states that maximum power is delivered to the load when the load resistance \( R_L \) is equal to the internal resistance \( r \) of the battery. In mathematical terms: \[ R_L = r \] This concept is crucial in electrical engineering and circuit design, as it helps in designing systems for optimal power efficiency.
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