Question

An electric kettle operates at 230V and draws a current of 13A. What would the equivalent current be at the following voltages used in the UK National Grid? Show all your working.

a) 33kV (33000V) (4 marks)

b) 400kV (4 marks)

Answer 1

2990

Answer 2

20000

Answer 3

2990.Watts

Answer 4

[AI-generated answer — Explain Bot]

To find the equivalent current at different voltages, we can use the formula:

I = P / V

where I is the current, P is the power, and V is the voltage. Since we are given the voltage and current at 230V, we need to find the equivalent current at different voltages.

a) For 33kV (33,000V):

To find the equivalent current, we need to find the power consumed by the kettle. The power can be calculated using the formula:

P = V * I

P = 230V * 13A

P = 2990W

Now, we can use the power and voltage to find the equivalent current at 33kV:

I = P / V

I = 2990W / 33,000V

I = 0.0906A

Therefore, the equivalent current at 33kV is 0.0906A.

b) For 400kV:

Similarly, we need to calculate the power consumed by the kettle:

P = V * I

P = 230V * 13A

P = 2990W

Now, we can find the equivalent current at 400kV:

I = P / V

I = 2990W / 400,000V

I = 0.0075A

Therefore, the equivalent current at 400kV is 0.0075A.