The following questions relate to the graph in Figure State the value of the current I and its direction when time t = 5 ms .

According to the graph of current verses time, Maximum current at time 5 m s is 2 A . For direction of current take upper portion of graph is positive and lower portion of graph is negative. So direction of current at time is positive.

The following questions relate to the graph in Figure State the time T for one complete cycle (the period of the a.c).

According to graph of current sine wave, Time period of wave is time taken to complete one cycle. ∴ T = 20 m s . After this time graph will start to repeat.

The following questions relate to the graph in Figure Determine the frequency of this alternating current.

According to graph of current sine wave, Time period of wave is time taken to complete one cycle. ∴ T = 20 m s . Frequency of wave is defined as reciprocal of time period. ∴ f = 1 T = 1 20 m s = 1 20 × 10 - 3 s = 1000 20 = 50 H Z .

The following questions relate to the graph in Figure. Determine the values of I 0 & ω .

Peak value of current is represented as I 0 and angular frequency is represented as ω . According to graph, Peak value of current I 0 = 2 A . Angular value of frequency ω = 2 πf ∵ f = 1 T = 1 20 × 10 - 3 s = 50 H z ∴ ω = 2 × π × 50 = 100 π radian .

The following questions relate to the graph in Figure. (b) Write an equation to represent this alternating current.

Standard equation of alternating current with respect to time is relation of instantaneous current and peak current with frequency. ∵ I = I o sin ω t Here peak current I o = 2 A and angular frequency ω = 100 π . ∴ Required equation of graph is I = 2 sin 100 πt . .

E M B I B E

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 27 - Alternating Currents>Questions

David Sang and Graham Jones Solutions for Chapter: Alternating Currents, Exercise 2: Questions

Author:David Sang & Graham Jones

David Sang Physics Solutions for Exercise - David Sang and Graham Jones Solutions for Chapter: Alternating Currents, Exercise 2: Questions

Attempt the practice questions on Chapter 27: Alternating Currents, Exercise 2: Questions with hints and solutions to strengthen your understanding. Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access solutions are prepared by Experienced Embibe Experts.