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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79826512-1148-4736-b4a7-6e7f4ec13f28%2Fc18f7755-2418-41f0-862f-fd4f1ea12d9f%2Fiiq133n_processed.png&w=3840&q=75)
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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