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(a) All sides of a square are made with identical resistors with resistance R =

ID: 1434073 • Letter: #

Question

(a) All sides of a square are made with identical resistors with resistance R = 185 . A battery with terminal voltage V = 11.5 V and negligible internal resistance is connected across one of the diagonals on the square, as shown in the figure. What is the magnitude of the current that flows through the battery?
mA

(b) Suppose that a single resistor with resistance R = 185 is added across the diagonal that is not connected to the battery, as shown in the figure below. What is the magnitude of the current that flows through the battery in this new configuration?
Suggestion: Consider the symmetry of the circuit.
mA

(c) All sides of a square-based pyramid are made with identical resistors with resistance R = 185 . A battery with terminal voltage V = 11.5 V and negligible internal resistance is connected across one of the diagonals on the square base, as shown in the figure below. What is the magnitude of the current that flow through the battery?
Suggestion: Try redrawing this as a 2D circuit, and consider the symmetry of the circuit.
mA

Explanation / Answer


A) in the square of the resistors using the wheatstone bridge principle

since the bridge is balanced,hence no current through the battery

B) here also nocurrent through the battery ,because there will be no curren through the resistor which is connected across the diagonals