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for circuit shown below the black box contains resistors and independent source only.the current i is 3 amp and 1.5 amp for r=0 and 2 ohm respectively .for r=1 ohm what is the current?
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for circuit shown below the black box contains resistors and independe...
To solve for the current when the resistor has a value of 1 ohm, we can use the following equation:
I = V / R
where I is the current in amps, V is the voltage in volts, and R is the resistance in ohms.
Since the black box contains resistors and independent sources only, we can assume that the voltage across the 1-ohm resistor is the same as the voltage across the 2-ohm resistor. Therefore, we can set the voltage across the 1-ohm resistor equal to the voltage across the 2-ohm resistor, and solve for the current:
I = V / 1 ohm
= (V / 2 ohm) / 1 ohm
= (I * 2 ohm) / 1 ohm
= 2 * I
Since the current through the 2-ohm resistor is 1.5 amps, the current through the 1-ohm resistor is 2 * 1.5 amps = 3 amps. Therefore, the current when the resistor has a value of 1 ohm is 3 amps.
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for circuit shown below the black box contains resistors and independe...
Analysis of the Circuit:
The given circuit consists of a black box containing resistors and independent sources. The current through the circuit is known to be 3 A for \( R = 0 \, \Omega \) and 1.5 A for \( R = 2 \, \Omega \). We need to determine the current for \( R = 1 \, \Omega \).
Application of Superposition Theorem:
To find the current for \( R = 1 \, \Omega \), we can use the superposition theorem. This theorem states that the total current in a circuit is the algebraic sum of the currents produced by each source acting independently.
Step 1: Current for \( R = 0 \, \Omega \):
- When \( R = 0 \, \Omega \), the current through the circuit is 3 A.
Step 2: Current for \( R = 2 \, \Omega \):
- When \( R = 2 \, \Omega \), the current through the circuit is 1.5 A.
Step 3: Current for \( R = 1 \, \Omega \):
- To find the current for \( R = 1 \, \Omega \), we can consider the effect of both sources simultaneously.
- Let the current for \( R = 1 \, \Omega \) be \( I_{R=1} \).
- Applying the superposition theorem, we can write:
\( I_{R=1} = I_{R=0} - I_{R=2} \)
\( I_{R=1} = 3 A - 1.5 A \)
\( I_{R=1} = 1.5 A \)
Therefore, the current through the circuit for \( R = 1 \, \Omega \) is 1.5 A.
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for circuit shown below the black box contains resistors and independent source only.the current i is 3 amp and 1.5 amp for r=0 and 2 ohm respectively .for r=1 ohm what is the current? Related: Chapter 1 Network Theorems - Notes, Network Theory, Electrical Engineering?
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