A circuit with a resistance of #7 Omega# has a fuse melts at #6 A#. Can a voltage of #49 V# be applied to the circuit without blowing the fuse?

Answer 1

No, exceeding the fuse's current rating of 6 A with a voltage of 49 V will cause the fuse to blow, protecting the circuit.

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Answer 2

Nora Arzate

#No#

Information:

Resistance#=R=7Omega#

Voltage#=V=49V#

The fuse can hold six amps.

Sol:-

If we apply voltage #V# across a resistor whose resistance is #R# then the current #I# flowing across it can be calculated by

#I=V/R#

Here we are applying voltage of #49V# across a #7Omega# resistor, therefore, the current flowing is

#I=49/7=7# #implies I=7A#

Since, the fuse has capacity of #6A# but the current flowing in the circuit is #7A# therefore, the fuse will melt. Thus, the answer to this question is #No#.

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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.