Safety In Numbers

A fuse is a safety device used to protect an electrical circuit from the effects of excessive current. It consists of a thin metal wire with small resistance and low melting point. When an electrical equipment becomes faulty (allowing an excess electric current to flow through the circuit), the wire inside the fuse melts which breaks the flow of the current. The rated current I N I_{N} is the maximum current that a fuse can conduct without interrupting the circuit. Consider two identical fuses with I N = 2 A I_{N}= 2~\mbox{A} connected in parallel as shown in the figure at the top.

What is the maximum current I I in Amperes that can flow through the circuit?


The answer is 4.0.

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5 solutions

Discussions for this problem are now closed

Ignacio Victoria
Feb 26, 2014

considering both fuses were identical they would have the same electrical resistance, being in paralel means we have to apply 1/R=1/R 1+1/R 2....1/R_n.

Following the explanation electricity in a paralel circuit always has a greater current in the branch with less resistance thus having both branches the same resistance the electrical current would divide equitatively among both branches, thus, the total current would be divided by 2, and each fuse only allows 2 Amps therefore rearanging the equation we find that 2*2 is 4Amps

Lalita Verma
Feb 25, 2014

by definition of parallel circuit , total current is sum of current from each component and voltage is same. so 2 amp current flow from each component . then 2amp+2 amp=4 amp

Ajay Singh
Feb 24, 2014

since the fuse resistance on the both parallel paths is equal. The current will also be equal. Each fuse can take 2 amps of Current, hence, 2+2 is the max current that can flow through the circuit.

Mishti Mishti
Feb 21, 2014

in parallel circuit current adds up thus the current =2+2=4A

why current flow from each component is 1amp. then 1amp+1amp=2amp ?

Lalita Verma - 7 years, 3 months ago

the capacity of each fuse is 2A so we add 2+2=4,because currents flows through both the fuses

Nancy Samyukta - 7 years, 3 months ago
Digvijay Tomar
Feb 21, 2014

In parallel flow the voltage is same and in series current is same...but here 4A current is divided into to 2A rated fuses..so it will be added again...so 4A is the answer.!

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