Question
An ideal Zener diode with breakdown voltage of -3 V is reverse biased with a negative input voltage V_i=-5 V. The magnitude of voltage difference between points B and A is :
An ideal Zener diode with breakdown voltage of -3 V is reverse biased with a negative input voltage V_i=-5 V. The magnitude of voltage difference between points B and A is :
C. 2 V
Given that the Zener diode is reverse biased with an input voltage of magnitude |V_i| = 5 V. The breakdown voltage of the ideal Zener diode is |V_Z| = 3 V. Since the applied voltage is greater than the Zener breakdown voltage (5 V > 3 V), the Zener diode operates in the breakdown region. In the breakdown region, the voltage drop across the ideal Zener diode remains constant at its breakdown voltage. Therefore, the potential difference between points C and B is V_ CB = 3 V. The total voltage is applied across the series combination of the Zener diode and the resistor R. By Kirchhoff's Voltage Law, the sum of the voltage drops across the Zener diode and the resistor equals the total applied voltage. Let V_ BA be the voltage difference between points B and A, which is the voltage across the resistor R. |V_i| = V_ CB + V_ BA 5 = 3 + V_ BA V_ BA = 2 V. The magnitude of the voltage difference between points B and A is 2 V. Answer: 2 V
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