# hw2_09 - Department of Electrical and Computer Engineering...

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Department of Electrical and Computer Engineering The Johns Hopkins University 520.137 Introduction to Electrical and Computer Engineering – Fall 2009 Homework Assignment II Reading Assignment: Lecture Notes; Kerns-Irwin Chapter 3. 1. Consider the resistive circuit in a diamond topology on the left of the figure below. This is commonly known as the Wheatstone Bridge , often used in electrical measurement applications. Note that this circuit can be redrawn as shown on the right side. ( ) t v S + _ + _ 1 R 2 R 3 R 4 R a b c ( ) t v o ( ) t v S + _ + _ 1 R 2 R 3 R 4 R a b c ( ) t v o (a) Find v ac ( t ) – the voltage across the resistor R 2 – and v bc ( t ) – the voltage across the resistor R 4 – as a function of the source voltage v S ( t ). (b) Find v O ( t ) – the voltage across nodes a and b – as a function of the source voltage v S ( t ) given that R 1 = R 4 and R 2 = R 3 = 2 R 1 . Hint: v ab ( t ) = v ac ( t ) - v bc ( t ). (c) If the source voltage is v S ( t ) = 9 cos(4 πt ), find the period, frequency, average voltage V AV E , and root-mean-squared voltage V RMS for v O ( t ).

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