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A voltage source of 12 V is connected to a diode and a 4.0 Ω resistor in series. Determine the current through the diode given it has a threshold voltage of 1.3 V.

Question

A voltage source of 12 V is connected to a diode and a 4.0 Ω resistor in series. Determine the current through the diode given it has a threshold voltage of 1.3 V.

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Solution

To solve this problem, we need to use Ohm's law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points, and is inversely proportional to the resistance (R). It is usually formulated as I = V/R.

Step 1: Determine the voltage across the resistor. The voltage across the resistor is the total voltage (from the source) minus the threshold voltage of the diode. So, V_resistor = V_total - V_diode = 12V - 1.3V = 10.7V.

Step 2: Use Ohm's law to find the current. Now that we know the voltage across the resistor, we can use Ohm's law to find the current. I = V_resistor / R = 10.7V / 4.0Ω = 2.675A.

So, the current through the diode is 2.675 Amps.

This problem has been solved

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