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lapo4ka [179]
3 years ago
11

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is amperes when the

resistance is ohms. What is the current when the resistance is ​ohms?
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

Answer:

\mathbf{I = 0.22 \ amperes}

Step-by-step explanation:

From above:

let assume that;

The current is \dfrac{1}{2} ampere when resistance is 240 ohms.

Now, to find the current when R = 540 ohms.

SO; if I \  \alpha \ \dfrac{1}{R}

I \  =\ \dfrac{k}{R} where k = constant

\dfrac{1}{2} \  =\ \dfrac{k}{240}

2k = 240

k = \dfrac{240}{2}

k = 120

Thus; the constant = 120

So; when R = 540 ohms

then the current will be:

I = \dfrac{k}{R}

I = \dfrac{120}{540}

\mathbf{I = 0.22 \ amperes}

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