(a)
The resistance of each of the two parallel connection of resistors.
(a)
Answer to Problem 4SP
The resistance of the first network is
Explanation of Solution
Given info: First network has two resistors of
Write the equation to find the equivalent resistance of the first network.
Here,
Substitute
Write the equation to find the equivalent resistance of the second network.
Here,
Substitute
Conclusion:
Therefore, the resistance of the first network is
(b)
The total equivalent resistance between A and B.
(b)
Answer to Problem 4SP
The total equivalent resistance is
Explanation of Solution
The parallel connection of first network and the second network is in series with the single resistance connected in the middle. Therefore the total equivalent resistance will be the sum of them.
Here,
Substitute
Conclusion:
Therefore, The total equivalent resistance is
(c)
The current flowing through the entire connection.
(c)
Answer to Problem 4SP
The current flowing is
Explanation of Solution
Given info: The voltage applied is
Write the equation to find the current through the entire circuit
Here,
Substitute
Conclusion:
Therefore, the current flowing through the entire circuit is
(d)
Current flowing through each of the three resistor parallel network.
(d)
Answer to Problem 4SP
The current is
Explanation of Solution
Write the equation to find the current.
Here,
The equivalent resistance of the three resistor network is
Substitute
Since it is a parallel connection the same current flows through each resistor.
Therefore, current through each resistor can be found by dividing the current by three.
Conclusion:
Therefore, the current is
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