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forsale [732]
3 years ago
6

A circuit contains three resistors rated at 100 Ω, 200 Ω, and 300 Ω that are connected in parallel. What's the total resistance

of the circuit?
Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

total resistance is 54.54 ohms

Step-by-step explanation:

In parallel circuits, current can take various paths so the resistance are not added simply like that in series circuit, instead the reciprocal of total resistance in parallel circuit is calculated by adding the reciprocals of all the resistors connected parallel in circuit.

Given:

Resistor r1= 100

resistor r2 = 200

resistor r3= 300

The three resistors are connected in parallel  so the total resistance will be calculated by:

1/R= 1/r1 +1/r2 +1/r3

Putting the values of r1, r2, r3 in above we get

1/R= 1/100 + 1/200 +1/300

  = 0.01 + 0.005 + 0.0033

  = 0.0183

Taking reciprocal of both sides:

R=54.54

Hence total resistance is 54.54 ohms!

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A festival charges $3 for child admission and $5 for adult admision. At the end of the festival they have sold 779 tickets for a
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Step-by-step explanation:

A festival charges $3 for children admission and $5 for adult admission

At the end of the festival they have sold a total number of 779 tickets for $2771

Let x represent the child ticket

Let y represent the adult ticket

x + y= 779..............equation 1

3x + 5y= 2771..........equation 2

From equation 1

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