High School

Work out the current flowing when charge is transferred at a rate of:

a) 4.5 C every second
b) 192 C per minute
c) 16.56 kC an hour
d) 1.8 C every 0.6 s
e) 3.2 C every 1.6 s
f) 33.8 C every 2.6 s
g) 147.2 C every 23 s
h) 7920 C every 15 minutes
i) 900 C every half an hour

Answer :

The current flowing when the charge is transfered at different rates are:

A. 4.5 A4.5 A

B. 3.2 A

C. 4.6 A

D. 3 A

E. 2 A

F. 13 A

G. 6.4 A

H. 8.8 A

I. 0.5 A

How do I determine the current?

We know that charge, current and time are related by the following formula:

Charge (Q) = Electric current (I) × time (t)

Q = It

Divide by t

I = Q / t

With the above formula, we can obtain the current. Details below:

A. How do I determine the current?

  • Charge (Q) = 4.5 C
  • Time (t) = 1 s
  • Current (I) = ?

I = Q / t

I = 4.5 / 1

I = 4.5 A

B. How do I determine the current?

  • Charge (Q) = 192 C
  • Time (t) = 1 min = 60 s
  • Current (I) = ?

I = Q / t

I = 192 / 60

I = 3.2 A

C. How do I determine the current?

  • Charge (Q) = 16.56 KC = 16.56 × 1000 = 16560 C
  • Time (t) = 1 h = 1 × 60 × 60 = 3600 s
  • Current (I) = ?

I = Q / t

I = 16560 / 3600

I = 4.6 A

D. How do I determine the current?

  • Charge (Q) = 1.8 C
  • Time (t) = 0.6 s
  • Current (I) = ?

I = Q / t

I = 1.8 / 0.6

I = 3 A

E. How do I determine the current?

  • Charge (Q) = 3.2 C
  • Time (t) = 1.6 s
  • Current (I) = ?

I = Q / t

I = 3.2 / 1.6

I = 2 A

F. How do I determine the current?

  • Charge (Q) = 33.8 C
  • Time (t) = 2.6 s
  • Current (I) = ?

I = Q / t

I = 33.8 / 2.6

I = 13 A

G. How do I determine the current?

  • Charge (Q) = 147.2 C
  • Time (t) = 2.6 s
  • Current (I) = ?

I = Q / t

I = 147.2 / 23

I = 6.4 A

H. How do I determine the current?

  • Charge (Q) = 7920 C
  • Time (t) = 15 mins = 15 × 60 = 900 s
  • Current (I) = ?

I = Q / t

I = 7920 / 900

I = 8.8 A

I. How do I determine the current?

Charge (Q) = 7920 C

Time (t) = half hour = 30 mins = 30 × 60 = 1800 s

Current (I) = ?

I = Q / t

I = 900 / 1800

I = 0.5 A

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