KIRCHHOFF?S CIRCUIT Laws 1. Find the equivalent resistance of the following netw

Question

KIRCHHOFF?S CIRCUIT Laws 1. Find the equivalent resistance of the following network. (All resistances are in ohms.) Show your work below. 2. Show on the circuit diagram in Question 1 how you would connect a multi- meter to measure the current through the 8- Omega resistor. a. Explain why the millimeter is connected in this way. b. What design feature of a good millimeter allows you to connect it in the way indicated without appreciably affecting the current through the 8-fl resistor? 3. Show on the circuit diagram in Question 1 how you would conned a multi- meter to measure the voltage across the 8-fl resistor. a. Explain why the millimeter is connected in this way. b. What design feature of a good millimeter allows you to connect it in the way indicated without appreciably affecting the voltage across the 8-fl resistor? . 4. Pictured in the thick-lined box in the circuit on the right is a battery with emf 12 V and internal resistance 1 Omega. A is the positive terminal of the battery and B is the negative terminal. a. What is the potential difference across the battery?s terminals when the switch S is open, as shown?

Explanation / Answer

part 1:

when resistances are connected in series, RNet = R1+ R2

and in parallel, Rnet = R1*R2/(R1+R2)

so

here

10 and 10 are in sereis = 20 ohms

20 is in paralllel withj 20

Rnet = 20*20/(20+20)

Rnet = 40 ohms

40 is in sereis with 20 = 60 ohms

20 , 30 are in parallel , R' -= 20*30/50 = 12 ohms

12, 8, 10 are in series = 30 ohms

finally 30 and 60 are in parallel

so

RNet = 30*60/(90)

Rnet = 20 ohms is the net Resisatnce

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