Step 1: The circuit. The total voltage across the series combination of the diode and the resistor is equal to the supply voltage \( V \). The current through the diode is 15 mA.
Step 2: Applying Kirchhoff's Voltage Law. The voltage across the resistor is given by Ohm's Law: \[ V_R = I \times R = 15 \times 10^{-3} \, \text{A} \times 1000 \, \Omega = 15 \, \text{V} \] The voltage across the diode is the threshold voltage, \( V_D = 0.7 \, \text{V} \).
Step 3: Total supply voltage. The total voltage \( V \) is the sum of the voltage across the resistor and the diode: \[ V = V_R + V_D = 15 \, \text{V} + 0.7 \, \text{V} = 15.7 \, \text{V} \] Thus, the value of \( V \) is 15.7 V.
In the given circuit, the equivalent resistance between points A and D is:
Assertion : In a semiconductor diode, the thickness of the depletion layer is not fixed.
Reason (R): Thickness of depletion layer in a semiconductor device depends upon many factors such as biasing of the semiconductor.
Evaluate:
$\displaystyle \int_{0}^{3} x \cos(\pi x) \, dx$
Find:$\displaystyle \int \dfrac{dx}{\sin x + \sin 2x}$