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An energy source will supply a constant ...

An energy source will supply a constant current into the load if its internal resistance is

A

very large as compared to the load resistance

B

equal to the resistance of the load

C

non-zero but less than the resistance of the load

D

zero

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The correct Answer is:
To determine the internal resistance of an energy source that will supply a constant current into a load, we can analyze the circuit and the relationship between the current, voltage, and resistance. ### Step-by-Step Solution: 1. **Understanding the Circuit**: - We have an energy source (like a battery) with an electromotive force (emf) denoted as \( E \). - This energy source has an internal resistance \( r \). - There is a load resistance \( R \) connected to the battery. 2. **Current Flow in the Circuit**: - When the circuit is closed, a current \( I \) flows through the load and the internal resistance of the battery. - According to Ohm's law, the total voltage in the circuit is equal to the sum of the voltage drops across the load and the internal resistance. 3. **Applying Ohm's Law**: - The current \( I \) can be expressed as: \[ I = \frac{E}{R + r} \] - Here, \( R \) is the load resistance and \( r \) is the internal resistance of the energy source. 4. **Condition for Constant Current**: - For the current \( I \) to remain constant, the total resistance in the circuit must not change with variations in load. - This can be achieved if the internal resistance \( r \) is negligible compared to the load resistance \( R \). 5. **Analyzing the Options**: - If \( r \) is very large compared to \( R \), the current would decrease significantly, which is not desirable. - If \( r \) is equal to \( R \), the current would be half of what it could be, which is also not ideal. - If \( r \) is non-zero but less than \( R \), the current would still vary with changes in \( R \). - If \( r \) is zero, the equation simplifies to: \[ I = \frac{E}{R} \] which indicates a constant current regardless of the load. 6. **Conclusion**: - The internal resistance of the energy source must be zero for it to supply a constant current into the load. ### Final Answer: The internal resistance of the energy source should be **zero**.

To determine the internal resistance of an energy source that will supply a constant current into a load, we can analyze the circuit and the relationship between the current, voltage, and resistance. ### Step-by-Step Solution: 1. **Understanding the Circuit**: - We have an energy source (like a battery) with an electromotive force (emf) denoted as \( E \). - This energy source has an internal resistance \( r \). - There is a load resistance \( R \) connected to the battery. ...
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