Compute the current in the 10 k omega resistor and the output voltage if the res

Question

Compute the current in the 10 k omega resistor and the output voltage if the resistor R_2 in Figure 1 is 10 k omega 4.7 k omega A parallel combination of a 1 k omega resistor and a 4.7 k omega resistor. In the circuit of Figure 1, What value is required for R_2 so that the output voltage is 4 Volts? What is the current in the 10 k omega resistor? For the circuit Figure 2 What is the net resistance of the first parallel resistor pair (12 k omega in parallel with 4 k omega)? Of the second parallel pair (10 k omega in parallel with 5 k omega)? What is the output voltage? What is the current in the 12 k omega resistor?

Explanation / Answer

3) for the output voltage to be 4 V

Using voltage divider formula

4 = 10 * R2/(10 + R2)

solving for R2

R2 = 6.67 kOhm

the value of R2 is 6.67 kOhm

b) current through 10 kOhm = 10/(R1 + R2)

current through 10 kOhm = 10/(6.67 + 10)

current through 10 kOhm = 0.6 mA

the current through 10 kOhm is 0.6 mA

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