If L and C in a parallel resonant circuit...

Question 1 of 27070ZVK7BMUdQQcyRqSK4CK7

If L and C in a parallel resonant circuit resonants at 1000 kHz are so varied that their product remains constant, what will be the resulting resonant frequency?

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Question 1 of 27070

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If L and C in a parallel resonant circuit resonants at 1000 kHz are so varied that their product remains constant, what will be the resulting resonant frequency?

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🔍 Key Concepts

• Resonant frequency of an LC circuit is determined by both L (inductance) and C (capacitance) together, not separately • The formula for resonant frequency of an LC circuit involves the product L × C • Think about what happens to the resonant frequency if the product L × C stays constant even when L and C change individually

💭 Think About

• Write down the standard formula for the resonant frequency of an LC circuit. Where does L × C appear in that formula? • If L × C is kept constant, does the resonant frequency increase, decrease, or remain the same? Why? • Compare 1000 kHz with the choices given. Which choice is another way of writing the same value, if any?

✅ Before You Answer

• Verify the correct resonant frequency formula for an LC circuit before doing any calculation • Check whether changing L and C individually (while keeping L × C constant) affects the term under the square root in the formula • Confirm the unit conversion between kHz and MHz to compare 1000 kHz with 1 MHz