GATE EE 2014 Set 1 — Question 16
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Electric Circuits → Network Elements & Sources → Passive Sign Convention
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Question
The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watts is __________.
Correct answer
330 to 330
Solution
To find the total power absorbed by the three circuit elements, we use the passive sign convention: power absorbed if the current enters the positive terminal of the voltage source . If the current enters the negative terminal, .Step 1: Determine the current through each element using KCL.
Apply Kirchhoff's Current Law (KCL) at the central node where the three branches meet:From the figure:
In standard battery symbols, the long line represents the positive terminal and the short line represents the negative terminal.
Apply Kirchhoff's Current Law (KCL) at the central node where the three branches meet:From the figure:
- Current entering from the left branch: A
- Current leaving to the right branch: A
- Let the current leaving downwards through the V source be .
In standard battery symbols, the long line represents the positive terminal and the short line represents the negative terminal.
- V Source: The long line is on the left (+). The A current enters from the left, thus entering the positive terminal.
- V Source: The short line is on the left (-) and the long line is on the right (+). The A current flows from left to right, entering the negative terminal.
- V Source: The short line is at the top (-) and the long line is at the bottom (+). The A current flows from top to bottom, entering the negative terminal.
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