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A circuit with a resistance of #9 Omega# has a fuse melts at #6 A#. Can a voltage of #12 V# be applied to the circuit without blowing the fuse?

Answer 1

Adrian Ayala

Yes, a voltage of 12 V can be applied to the circuit without blowing the fuse.

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Answer 2

Julia Aguilar

Yes; the current produced (#1 1/3 Amperes#) is less than the maximum permitted by a #6A# fuse.

#12V# applied to a circuit with a resistance of #9Omega# will generate #(12V)/(9Omega) = 4/3 Amps# of current.

I like to think of it in the form #color(white)("XXX")"Current" = ("Voltage")/("Resistance")# since it seems obvious to me that increasing the voltage should increase the current and increasing the resistance should decrease the current.

However some people prefer: #color(white)("XXX")"Voltage" = "Current"xx"Resistance"# or #color(white)("XXX")("Voltage")/("Current"xx"Resistance")=1# (there is even a diagram for this)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.