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The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.?
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The network box shown in the figure 1 contains resistors and independe...
Analysis of the Circuit:
The given network box consists of resistors and independent sources. The current I flowing in the circuit is dependent on the value of the resistor R.
Given Information:
- When R=0Ω, I=3A
- When R=2Ω, I=1.5A
Analysis for R=1Ω:
- We can start by analyzing the circuit for R=0Ω and R=2Ω to find a pattern or relationship between resistance and current.
- For R=0Ω, the current I=3A. This implies that the current source in the circuit is providing 3A of current.
- For R=2Ω, the current I=1.5A. This implies that the circuit is consuming 1.5A of current.
- Therefore, the difference in current consumption between R=0Ω and R=2Ω is 1.5A.
- If we assume a linear relationship between resistance and current, we can calculate the current for R=1Ω.
Calculations:
- The change in resistance from R=0Ω to R=2Ω is 2Ω.
- The change in current from I=3A to I=1.5A is 1.5A.
- Therefore, the change in current per ohm of resistance is 1.5A/2Ω = 0.75A/Ω.
- For R=1Ω, the current can be calculated as:
I = 3A - (0.75A/Ω) * (1Ω) = 3A - 0.75A = 2.25A
Conclusion:
- Therefore, for R=1Ω, the current flowing in the circuit is 2.25A.
The given network box consists of resistors and independent sources. The current I flowing in the circuit is dependent on the value of the resistor R.
Given Information:
- When R=0Ω, I=3A
- When R=2Ω, I=1.5A
Analysis for R=1Ω:
- We can start by analyzing the circuit for R=0Ω and R=2Ω to find a pattern or relationship between resistance and current.
- For R=0Ω, the current I=3A. This implies that the current source in the circuit is providing 3A of current.
- For R=2Ω, the current I=1.5A. This implies that the circuit is consuming 1.5A of current.
- Therefore, the difference in current consumption between R=0Ω and R=2Ω is 1.5A.
- If we assume a linear relationship between resistance and current, we can calculate the current for R=1Ω.
Calculations:
- The change in resistance from R=0Ω to R=2Ω is 2Ω.
- The change in current from I=3A to I=1.5A is 1.5A.
- Therefore, the change in current per ohm of resistance is 1.5A/2Ω = 0.75A/Ω.
- For R=1Ω, the current can be calculated as:
I = 3A - (0.75A/Ω) * (1Ω) = 3A - 0.75A = 2.25A
Conclusion:
- Therefore, for R=1Ω, the current flowing in the circuit is 2.25A.
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The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.?
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The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.?.
The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The network box shown in the figure 1 contains resistors and independent sources. For R= 0Ω and 2Ω, the value of current I is 3A and 1.5A respectively. Find the value of I for R=1Ω.?.
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