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Answer :
This implies that -8V = 0, which is not possible
To determine the battery's EMF and internal resistance, we can use the concept of a voltage divider. The voltage divider equation is given by:
V = EMF - (I * R_internal)
where V is the terminal voltage, EMF is the electromotive force (battery's voltage), I is the current flowing through the circuit, and R_internal is the internal resistance of the battery
We have two equations based on the given information:
Equation 1: 40V = EMF - (I * R_internal) (for the load resistance of 6 ohms)
Equation 2: 48V = EMF - (I * R_internal) (for the load resistance of 12 ohms)
To find EMF and R_internal, we can solve these two equations simultaneously. Let's begin:
Subtracting Equation 2 from Equation 1, we eliminate the EMF:
40V - 48V = EMF - (I * R_internal) - (EMF - (I * R_internal))
-8V = 0
This implies that -8V = 0, which is not possible. Therefore, there is no solution to this system of equations.
The given information seems to be contradictory or inconsistent. Please double-check the values or conditions provided for the terminal voltage with different load resistances.
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