If the three resistors 47k ohm, 220k ohm and 3.3k ohm are in parallel circuit and each rated at 0.5 W, what is the maximum total current that the network can handle without overheating any resistor?
If the three resistors 47k ohm, 220k ohm and 3.3k ohm are in parallel circuit and each rated at 0.5 W, what is the maximum total current that the network can handle without overheating any resistor?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
If the three resistors 47k ohm, 220k ohm and 3.3k ohm are in parallel circuit and each rated at 0.5 W, what is the maximum total current that the network can handle without overheating any resistor?
Expert Solution
Step 1
The three resistors connected in parallel is shown below:
The total current will be the sum of the current across each resistor(branches), the expression is shown below:
Since the maximum power that can be dissipated across each resistor is 0.5 W, the current across each resistor is calculated by the expression of the power.
The maximum current across the first resistor is,
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