A rectangular block of copper has sides of length 10 cm, 20cm, and 40 cm. If the block is connected to a 6V sourceacross two of its opposite faces, what are (a) the maximum currentand (b) the minimum current that the block can carry?

allhvasstH

allhvasstH

Answered question

2021-04-16

A rectangular block of copper has sides of length 10 cm, 20cm, and 40 cm. If the block is connected to a 6V sourceacross two of its opposite faces, what are (a) the maximum currentand (b) the minimum current that the block can carry?

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-04-18Added 106 answers

given
length L = 40 cm
= 0.40 m
breadth B = 20 cm
=0.20 m
thickness t = 10 cm
= 0.10 m
Voltage V = 6.0 V
area A = (L)(B)
we want to find the current
we have given voltage (V) and sides of the rectangular box
we can proceed with ohms law V=(I)(R)
here resistance (R) is unknown
from theory when the length and area are given we have the equation for resistance as
R = (L/A)
where  is the specific resistance of thematerial, (L) is the length, and (A) is the area of the
rectangular box
as the rectangular box has three sides we havethree values of (L/A)
with 0.6 m, 0.22 m, 0.44 m
a) from those values of (L/A) choose minimumvalue of (L/A) and substitute in Imax=VRmin
=V(LA)max
b) from those values of (L/A) choose maximumvalue of (L/A) and substitute in
Imin=VRmax
=V(LA)max

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-08Added 2605 answers

Step 1

In this problem, a copper block has dimensions l1=10 cm=0.10 m,l2=20 cm=0.20 m, and l3=40 cm=0.40m

Step 2

From part (a), the possible currents are

I1=2.8×108 A

I2=7.1×107 A

I3=1.8×107 A

Step 3

We see that the minimum is

Imin=1.8×107 A

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?