Final answer:
The circuit would consist of an active band-pass filter followed by a frequency multiplier, but realizing a frequency multiplier using only op-amps for significant changes in frequency is challenging. Practical design might be limited to wave shaping and slight frequency adjustments.
Step-by-step explanation:
Designing a Circuit for Frequency Multiplication:To design a circuit that takes a triangle waveform input with a frequency of 10kHz and outputs a sine wave with a frequency that's two or three times higher (20kHz or 30kHz, respectively), while maintaining an output amplitude of 1Vpk, we can use a combination of an active filter and a frequency multiplier.
The first stage of the circuit is an active band-pass filter suited for the required output frequency range (20kHz to 30kHz). This filter can use operational amplifiers (op-amps) to shape the triangle wave into a sinusoidal form.
Following the filter, a frequency multiplier circuit can be implemented using a phase-locked loop (PLL) or a non-linear mixing process with op-amps. However, designing such a circuit is complex and goes beyond basic principles, as it involves intricate feedback mechanisms and non-linear elements which are not feasible with op-amps alone. Considering the constraints of using only op-amps, achieving exact frequency multiplication for a significant change in frequency is challenging.
Therefore, a more practical design could be a simple active filter to reshape the waveform and slightly adjust the frequency if needed, but precise multiplication by two or three times, specifically to output sine waves, may require components beyond just op-amps or rely on digital processing methods.