
What do you mean by non inverting amplifier?  
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Explanation and working principle of non inverting amplifier using opamp(operational amplifier).  
AmplifierOpampNoninverting  
 
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 The basic OPAMP noninverting amplifier is shown in below circuit.
The input signal [$:]V_{in}[/:$] is applied to the noninverting input terminal. The resistor [$:]R_{in}[/:$] is connected from the inverting input to ground. The feedback resistor [$:]R_f[/:$] is connected between the output and the inverting input. Resistors [$:]R_f[/:$] and [$:]R_{in}[/:$] form a resistive ratio network to produce the feedback voltage ([$:]V_A[/:$]) needed at the inverting input. Feedback voltage ([$:]V_A[/:$]) is developed across [$:]R_{in}[/:$]. Since the potential at the inverting input tends to be the same as the noninverting input (as pointed out with the description of virtual ground), [$:]V_{in}[/:$] = [$:]V_A[/:$]. Since [$:]V_A[/:$] = [$:]V_{in}[/:$], the gain of the amplifier can be expressed as [$$:]A_v = \frac{V_{out}}{V_A}[/:$$] However, [$:]V_A[/:$] is determined by the resistance ratio of [$:]R_{in}[/:$] and [$:]R_f[/:$]; thus, [$$:]V_A = \frac{R_{in}}{R_f+R_{in}}V_{out}[/:$$] [$$:]\frac{V_{out}}{V_A} = \frac{R_f+R_{in}}{R_{in}}[/:$$] [$$:]\frac{V_{out}}{V_A} = 1+\frac{R_f}{R_{in}}[/:$$] [$$:]\therefore A_v = 1+\frac{R_f}{R_{in}}[/:$$] The output voltage can be found by, [$$:]V_{out} = \left(1+\frac{R_f}{R_{in}}\right)V_{in}[/:$$] It is seen that the input and output voltages are in phase.  
 
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