The image you uploaded presents a problem involving an op-amp (operational amplifier) circuit in a non-inverting configuration. The problem requires selecting the correct output waveform from four oscilloscope screenshots corresponding to a given input.

Analyzing the Circuit:

The circuit shown is a non-inverting amplifier configuration with the following components:

• $R_1 = 10 \, k\Omega$
• $R_f = 68 \, k\Omega$
• The input voltage is $V_{\text{in}}$, and the output voltage is $V_{\text{out}}$.

The gain $A_v$ of a non-inverting amplifier is given by:

$A_v = 1 + \frac{R_f}{R_1}$

Substituting the given values:

$A_v = 1 + \frac{68 \, k\Omega}{10 \, k\Omega} = 1 + 6.8 = 7.8$

This means the output voltage $V_{\text{out}}$ should be $7.8$ times the input voltage $V_{\text{in}}$.

Analyzing the Oscilloscope Screenshots:

Given that the gain is 7.8, the output waveform should have a higher amplitude compared to the input waveform by this factor. The input and output waveforms should also be in phase since this is a non-inverting amplifier.

Now let's analyze the four options:

• Option a: The output waveform (pink) has a higher amplitude than the input (blue), and they are in phase.
• Option b: Similar in phase, but the amplitude does not match the expected gain.
• Option c: Again, amplitude and phase relationship seems incorrect for this gain.
• Option d: Incorrect phase relationship (input and output are not in phase).

Conclusion:

The correct choice appears to be Option a, where the output waveform is in phase with the input and has a higher amplitude consistent with the calculated gain.

Would you like more details or have any further questions?

Here are some related questions that might help expand your understanding:

1. How does the gain of an op-amp influence the output voltage?
2. What would happen if $R_f$ were decreased in this circuit?
3. Can you explain why the input and output should be in phase for a non-inverting amplifier?
4. How does an inverting amplifier differ from a non-inverting amplifier in terms of output characteristics?
5. What would the output waveform look like if the op-amp were in saturation?

Tip: When analyzing circuits involving op-amps, always check whether the configuration is inverting or non-inverting to correctly determine phase relationships between input and output.