'A' Level Questions - The Oscilloscope

Q1. The diagram shows a trace on the screen of an oscilloscope. The Y-sensitivity of the oscilloscope is set at 5.0 V per division and the time base is set at 0.50 ms per division.

(a) For the trace, determine

(i) the maximum positive value of potential difference,

2 divisions above the zero line - at 5.0 V per division is 10 V

(ii) the maximum negative value of potential difference,

1 division below the zero line - at 5.0 V per division is 5.0 V

(iii) the frequency of the signal.

Period T is 3 divisions - at 0.50 ms per division gives 1.5 x 10-3s

f = 1/T

= 1/(1.5 x 10-3) = 670 Hz

Note: Always mark values onto a diagram - adding dashed lines if it helps!

(4 marks)

(b) The trace shows the variation in the potential difference across a 100 resistor. Calculate the energy dissipated in the resistor

(i) for the first 1.00 ms,

voltage = -5.0V

Energy dissipated = ItV

But I = V/R

so energy dissipated = V2t/R = 25 x 0.001/100

= 2.5 x 10-4 J = 0.25 mJ

(ii) between 1.00 ms and 1.50 ms,

voltage = 10 V

energy dissipated = V2t/R = 100 x 0.0005/100

= 5.0 x 10-4 J = 0.50 mJ

(iii) in one cycle,

The sum of (i) and (ii) = 0.75 mJ

(iv) in one second.

In one second there are 667 cycles so:

in one second 0.75 x 667 = 0.50 J of energy are dissipated.

(5 marks max)

(Total 9 marks)