Solveeit Logo

Question

Question: In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of $I_z$?...

In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of IzI_z?

A

3.3 mA

B

5.5 mA

C

10 mA

D

7 mA

Answer

5.5 mA

Explanation

Solution

The Zener diode maintains a constant voltage of Vz=3.0VV_z = 3.0V across its terminals. This sets the voltage at point A to VA=3.0VV_A = 3.0V. The voltage drop across the 1kΩ\Omega resistor is VR1=10V3.0V=7.0VV_{R1} = 10V - 3.0V = 7.0V. The total current through the 1kΩ\Omega resistor is Itotal=7.0V1kΩ=7.0mAI_{total} = \frac{7.0V}{1k\Omega} = 7.0mA. The current through the 2kΩ\Omega resistor is IR=3.0V2kΩ=1.5mAI_R = \frac{3.0V}{2k\Omega} = 1.5mA. By Kirchhoff's current law at node A, Iz=ItotalIR=7.0mA1.5mA=5.5mAI_z = I_{total} - I_R = 7.0mA - 1.5mA = 5.5mA.