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in a circuit, a 10 resistor is connected in series to a parallel group containing a 60 resistor and a 5 resistor. what is the total resistance in this circuit?

Answer :

AL2006
The 60 and the 5 in parallel have an equivalent resistance of 4.615 ohms. (rounded). The 10 in series makes it 14.615...

60 ohm and 5 ohm resistors are in parallel and their parallel combination is given as

[tex]R_{parallel}[/tex]  = Product of resistances / (Sum of resistance)

[tex]R_{parallel}[/tex]  = 60 x 5 /(60 + 5)

[tex]R_{parallel}[/tex]   = 4.62 ohm

The parallel combination of resistances "[tex]R_{parallel}[/tex]  " and 10 ohm resistor are in series and their equivalent resistance is given as

[tex]R_{total}[/tex] = [tex]R_{parallel}[/tex]  + 10

[tex]R_{total}[/tex] = 4.62 + 10

[tex]R_{total}[/tex] = 14.62 ohm

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