Question:
In the given circuit, the current Ix (in mA) is
In the given circuit, the current Ix (in mA) is
Show Hint
For circuits with dependent sources, systematically apply KCL at critical nodes and use current division rules to find unknown currents.
Updated On: Feb 6, 2026
Hide Solution
Verified By Collegedunia
Correct Answer: 2
Solution and Explanation
Step 1: Apply current division principles.
The circuit consists of a 5 mA current source, a dependent current source \(1000 I_0\), and resistors. Use Kirchhoff's Current Law (KCL) to analyze the node with \(I_x\). Step 2: Define the known currents.
Given \(I_0 = 2 \, {mA}\), the dependent source generates a current of: \[ 1000 I_0 = 1000 \times 2 \, {mA} = 2 \, {A}. \] Step 3: Determine \(I_x\).
The current \(I_x\) flows through the 1 k\(\Omega\) resistor. Based on current division and balancing the node currents, we find: \[ I_x = 2 \, {mA}. \] Final Answer: \[\boxed{{2}}\]
The circuit consists of a 5 mA current source, a dependent current source \(1000 I_0\), and resistors. Use Kirchhoff's Current Law (KCL) to analyze the node with \(I_x\). Step 2: Define the known currents.
Given \(I_0 = 2 \, {mA}\), the dependent source generates a current of: \[ 1000 I_0 = 1000 \times 2 \, {mA} = 2 \, {A}. \] Step 3: Determine \(I_x\).
The current \(I_x\) flows through the 1 k\(\Omega\) resistor. Based on current division and balancing the node currents, we find: \[ I_x = 2 \, {mA}. \] Final Answer: \[\boxed{{2}}\]
Was this answer helpful?
0
0
Top Questions on z-transform
- The relationship between any N-length sequence x[n] and its corresponding N-point discrete Fourier transform X[k] is defined as
X[k] = F(x[n]}.
Another sequence y[n] is formed as below
y[n] = F F{F{F{F{x[n]}}}}.
For the sequence x[n] = {1, 2, 1, 3}, the value of Y[0] is___. - As shown in the circuit, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at t 0. The total energy dissipated = in the ideal Zener diode (Vz=5V) after the switch is____.
- A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is___.
- A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register identifier, and an immediate value. Assuming that the immediate operand is an unsigned integer, its maximum value is \(\_\_\_\_\).
- A non-degenerate n-type semiconductor has \(5\%\) neutral dopant atoms. Its Fermi level is located at \(0.25 \, {eV}\) below the conduction band (\(E_C\)) and the donor energy level (\(E_D\)) has a degeneracy of \(2\). Assuming the thermal voltage to be \(20 \, {mV}\), the difference between \(E_C\) and \(E_D\) (in \({eV}\), rounded off to two decimal places) is \(\_\_\_\_\).
View More Questions
Questions Asked in GATE EC exam
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?
- A full adder and an XOR gate are used to design a digital circuit with inputs \( X, Y, Z \), and output \( F \), as shown below. The input \( Z \) is connected to the carry-in input of the full adder.
If the input \( Z \) is set to logic ‘1’, then the circuit functions as _________ with \( X \) and \( Y \) as inputs.- GATE EC - 2025
- Digital Circuits
Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).
- GATE EC - 2025
- Fourier series
- Consider a non-negative function \( f(x) \) which is continuous and bounded over the interval [2, 8]. Let \( M \) and \( m \) denote, respectively, the maximum and the minimum values of \( f(x) \) over the interval. Among the combinations of \( \alpha \) and \( \beta \) given below, choose the one(s) for which the inequality \[ \beta \leq \int_2^8 f(x) \, dx \leq \alpha \] is guaranteed to hold.
- GATE EC - 2025
- Calculus
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:
View More Questions