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Question

Physics Question on Current electricity

In the given circuit, the voltage across load resistance (RLR_L) is:

A

8.75 V

B

9.00 V

C

8.50 V

D

14.00 V

Answer

8.75 V

Explanation

Solution

Given Data:

RD1 = 1.5 kΩ, RL = 2.5 kΩ, V = 15 V, VD1 = 0.3 V, VD2 = 0.7 V.

The voltage across the resistive portion of the circuit can be found by subtracting the voltage drops across the two diodes from the applied voltage:

Vresistive = V - (VD1 + VD2).

Substituting the values:

Vresistive = 15 V - (0.3 V + 0.7 V) = 14 V.

The total resistance in the resistive portion of the circuit is the sum of RD1 and RL:

Rtotal = RD1 + RL = 1.5 kΩ + 2.5 kΩ = 4.0 kΩ.

Using Ohm’s Law, the total current i in the circuit is given by:

i = VresistiveRtotal\frac{V_{resistive}}{R_{total}}.

Substituting the values:

i = 14 V4.0 kΩ\frac{14 \text{ V}}{4.0 \text{ k}\Omega} = 144000\frac{14}{4000} A = 0.0035 A = 3.5 mA.

The voltage across the load resistance RL, denoted as VL, is given by Ohm’s Law:

VL = i × RL.

Substituting the values:

VL = 3.5 mA × 2.5 kΩ = 0.0035 A × 2500 Ω = 8.75 V.

Final Result: The voltage across the load resistance RL is:

VL = 8.75 V