Proportion word problem

Question

For a fixed voltage, the current in an electrical circuit varies inversely with the resistance in the current. If a certain circuit has a current of 2.5 amps when the resistance is 150 ohms, find the current in the circuit when the resistance is 300 ohms.

Note: please show every single step taken, I'm a visual learner so steps can't be left out.

Answer 1

Since the current in the electrical circuit varies inversely with the resistance

 

I = V / R

 

V is the constant of proportionality in this case

 

2.5 = V / 150 

 

V = 150 * 2.5 

 

   =  375 volts (units for voltage)

 

Finally, we need to find the current in the circuit when the resistance is 300 Ω using this value that we found for v.

 

I = 375 / 300

 

= 1.25 A

 

It's important to find the constant of proportionality whenever you are given problems of this sort the rest of the puzzle just falls into place once you do that. 

 

Hope you were able to figure it out without too much trouble.

 

Good luck!