A rectangular circuit board contains two parallel branches that rejoin at a common node

PHYSICS · Multi-part · CBSE · Physics · Current Electricity · Current Electricity

Problem

A rectangular circuit board contains two parallel branches that rejoin at a common node, forming a single closed rectangular loop ABCDA (in that order). Starting at node A and moving clockwise, the elements encountered along the loop are: (a) Compute the algebraic sum of the measured potential differences for one complete traversal of the loop (A→B→C→D→A). Include the appropriate combined uncertainty for the sum, assuming independent random errors. (b) Determine whether the measurements satisfy energy conservation at the 95 percent confidence level. State your criterion clearly and justify your conclusion quantitatively. (c) If the loop fails the test in part (b), identify which single measurement, if adjusted, would most effectively restore agreement. Calculate the adjusted value required, and explain your choice.

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