In: Physics
When a 26.0-V emf device is placed across two resistors in series, a current of 11.0 A is flowing in each of the resistors. When the same emf device is placed across the same two resistors in parallel, the current through the emf device is 59.0 A. What is the magnitude of the larger of the two resistances?
Let the resistors be
Given that when a 26.0-V emf device is placed across the two resistors connected in series, a current of 11.0 A is flowing in each of the resistors.
In series connection, current across all devices is the
So total current,
Equivalent resistance,
-----(1)
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Given that when the same emf device is placed across the same two resistors in parallel, the current through the emf device is 59.0 A
In parallel connections, the voltage across all devices is the same.
Equivalent resistance,
---------
-----------(2)
------
Put (2) in (1)
Multiply all terms with R2
Solve the quadratic equation with a calculator
ANSWER:
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