The circuit in Figure SP 6-1 has three inputs: vw, vx, and vy. The circuit has one

Chapter 6, Problem SP6-1

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QUESTION:

The circuit in Figure SP 6-1 has three inputs: \(v_w, v_x,\) and \(v_y\). The circuit has one output, \(v_z\). The equation

                                                       \(v_z = av_w + bv_x + cv_y\)

expresses the output as a function of the inputs. The coefficients a, b, and c are real constants.

(a) Use PSpice and the principle of superposition to determine the values of a, b, and c.

(b) Suppose \(v_w = 2\) V, \(v_x = x,\) \(v_y = y\) and we want the output to be \(v_z = z\). Express z as a function of x and y.

Hint: The output is given by \(v_z = a\) when \(v_w = 1\) V, \(v_x = 0\) V, and \(v_y = 0\) V.

Questions & Answers

QUESTION:

The circuit in Figure SP 6-1 has three inputs: \(v_w, v_x,\) and \(v_y\). The circuit has one output, \(v_z\). The equation

                                                       \(v_z = av_w + bv_x + cv_y\)

expresses the output as a function of the inputs. The coefficients a, b, and c are real constants.

(a) Use PSpice and the principle of superposition to determine the values of a, b, and c.

(b) Suppose \(v_w = 2\) V, \(v_x = x,\) \(v_y = y\) and we want the output to be \(v_z = z\). Express z as a function of x and y.

Hint: The output is given by \(v_z = a\) when \(v_w = 1\) V, \(v_x = 0\) V, and \(v_y = 0\) V.

ANSWER:

Step 1 of 6

a)

We need to find the values of , and . First we can find  by simulating the given schematic when:

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