For an non-inverting amplifier using OPAMP, R1=1K, RF=100K,vin=0.1sin(ωt). Find vo.

1. Break Down the Problem

To calculate the output voltage $V_o$ of a non-inverting amplifier, we can use the following parameters:

• $R_1 = 1 \, K\Omega$
• $R_F = 100 \, K\Omega$
• Input voltage $V_{in} = 0.1 \sin(\omega t)$

2. Relevant Concepts

For a non-inverting amplifier, the output voltage can be calculated using the formula:

$V_o = V_{in} \left(1 + \frac{R_F}{R_1}\right)$

3. Analysis and Detail

1. Calculate the gain: $\text{Gain} = 1 + \frac{R_F}{R_1} = 1 + \frac{100 \, K\Omega}{1 \, K\Omega} = 1 + 100 = 101$

2. Calculate the output voltage: $V_o = V_{in} \times \text{Gain} = 0.1 \sin(\omega t) \times 101$

4. Verify and Summarize

Now we can summarize the output voltage:

$V_o = 10.1 \sin(\omega t)$

Final Answer

$V_o = 10.1 \sin(\omega t)$