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A silicon-based 5.1 V Zener diode requires a minimum operating current I of 5.0 mA to maintain its Zener voltage Vz - AQA - A-Level Physics - Question 4 - 2019 - Paper 8

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A silicon-based 5.1 V Zener diode requires a minimum operating current I of 5.0 mA to maintain its Zener voltage Vz. Draw on Figure 11 the general I–V characteristi... show full transcript

Worked Solution & Example Answer:A silicon-based 5.1 V Zener diode requires a minimum operating current I of 5.0 mA to maintain its Zener voltage Vz - AQA - A-Level Physics - Question 4 - 2019 - Paper 8

Step 1

Draw on Figure 11 the general I–V characteristic for this diode.

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Answer

The I–V characteristic curve for the Zener diode should show a sharp breakdown at 5.1 V with a small change in current, indicating its behavior as a voltage reference device. The curve slopes upwards in the forward direction before reaching the Zener voltage.

Step 2

State the function of the Zener diode in this circuit.

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Answer

The Zener diode provides a stable reference voltage of 5.1 V, allowing the operational amplifier to maintain a consistent non-inverting input voltage.

Step 3

Deduce whether a 100 Ω, 0.13 W resistor is suitable for R in Figure 12.

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Answer

Using the power formula P=I2RP = I^2 R, where I is 5 mA, we find:

\text{Since } 0.0025 ext{ W (or 2.5 mW) is less than 0.13 W, the resistor is suitable.}$$

Step 4

Explain how this affects the light intensity at which W changes.

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Answer

If the position of the resistor and Zener diode is swapped, the Zener diode will now be directly connected to the voltage source. This may lead to a higher current flowing through the diode, potentially overheating it and affecting the light intensity at which W changes.

Step 5

Write the Boolean algebra expression for the output Q in terms of W, X and Y based on the logic gates shown in Figure 13.

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Answer

The output can be expressed as:
Q=(XY)WQ = (X \land Y) \lor W
This describes the logic that Q is true if both X and Y are true or if W is true.

Step 6

State one property that makes the MOSFET suitable for interfacing with logic gates.

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Answer

The MOSFET has a high input impedance, minimizing the loading effect on the preceding circuit.

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