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Find the required value of R. (10 points)b)If the amplifier is fed with a current source having a current of 0.2 mA and a source resistance of 10 kΩ, find iL and 푣푣표표.

Respuesta :

Answer:

R = 1 kΩ

i_L = 2.2 mA  

Explanation:

The complete question is given in attachment:

Given:

- The gain i_L / i_i = 11

- Given circuit Attachment

Find:

- Find the required value of R

- If the amplifier is fed with a current source having a current of 0.2 mA and a source resistance of 10 kΩ, find iL

Solution:

- Use KVL on right most loop (load loop):

                        v_x = 0 - i_i*10 = -10i_i

- Using ohm's law:

                        i = (0 - v_x) / R  

                        i = 10*i_i / R

- Use KCL at the node:

                         i_L = i + i_i

- Substitute the the two i:

                         i_L = 10*i_i / R + i_i

                         i_L / i_i = ( 10/ R + 1 )

                         11 = ( 10/ R + 1 )

                         10 / R = 10

                         R = 1 kΩ                    

- The input resistance = 0 because there is a virtual ground at input. Then the value of source resistance will have no effect on resulting i_l, hence:

                         i_L = i_L / i_i * i_i

                         i_L = 11*0.2

                         i_L = 2.2 mA  

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