R1= 10 ohms R2= 12ohms R3= 15ohms R4=17ohms R5= 22ohms Explain what effect the D

Question

R1= 10 ohms R2= 12ohms   R3= 15ohms   R4=17ohms    R5= 22ohms

Explain what effect the DMM might have on the circuit when inserted to measure the current (i.e., comment on whether the current into a junction is equal to the current out of a junction when uncertainty is considered.) Would disconnecting the battery on the left-hand side of the circuit board affect the current i2? Calculate what i, is for this case. Using Kirchhoff's current and voltage laws explicitly (i.e., use sum of voltage around loops and sum of current in and out of junctions) derive the current equations to the circuit used in this experiment. Do not solve. Simply set up equations and put in a form that is conducive to computer solution. Discuss results of part 2 (Can you trust a measuring instrument all the time?) in the context Kirchhoffs voltage law and the effect of DMM on the circuit. You will need to calculate the equivalent resistance of both circuits assuming that the voltmeter (i.e., DMM) is a 10x10 6 Ohm resistor. Does the voltmeter affect the circuit?

Explanation / Answer

1) when the DMM is inserted into the circuit, it introduces a series resistance in the circuit. So, the current slightly changes .This effect can be minimised by ensuring the resistance of the DMM to be negligible compared to the circuit parameters.

2) No, disconnecting the battery on the left will no way affect the curretn in i2 as the current i2 is developed as a result of the battery in the right which is independent of the current on the left.

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