Question

If *R* is the total resistance of three resistors,
connected in parallel, with resistances *R*_{1},
*R*_{2}, *R*_{3}, then

1 |

R |

=

1 |

R_{1} |

+

1 |

R_{2} |

+

1 |

R_{3} |

.

If the resistances are measured in ohms as
*R*_{1} = 40 Ω, *R*_{2} = 25 Ω, and
*R*_{3} = 32 Ω, with a possible error of 0.5% in
each case, estimate the maximum error in the calculated value of
*R*. (Round your answer to three decimal places.)

Answer #1

If two resistors with resistances R1 and
R2 are connected in parallel, as in the figure
below, then the total resistance R, measured in ohms (Ω),
is given by
1/R= 1/R1+1/R2
If R1 and R2 are
increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast
is R changing when R1 = 80 Ω and
R2 = 110 Ω? (Round your answer to three decimal
places.)

If two resistors with resistances R1 and
R2 are connected in parallel, as in the figure
below, then the total resistance R, measured in ohms (Ω),
is given by
1
R
=
1
R1
+
1
R2
.
If R1 and R2 are
increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast
is R changing when R1 = 50 Ω and
R2 = 60 Ω? (Round your answer to three decimal
places.)

The total resistance R produced by three conductors
with resistances R1, R2,
R3 connected in a parallel electrical circuit
is given by the formula
1/R = 1/R1 + 1/ R2 + 1/R3
.Find (PARTIAL DERIVATIVE)
dr/dr1 (partial derivation)
.
Find an equation of the tangent plane to the given surface at
the specified point.
z = ex^2 - y^2 (3,-3,1)

Resistor R1=3.7 Ohm is connected in series to parallel combination
of resistors R2=7.9 Ohm and R3=11.1 Ohm. Find equivalent resistance
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Resistor R1=3.7 Ohm is connected in series to parallel combination
of resistors R2=7.9 Ohm and R3=10.7 Ohm. This combination is
connected to the ideal battery of V=10.6 V. Find current through
the R3. Give answer in A.

Three resistors having resistances of R1 = 1.52 Ω ,
R2 = 2.32 Ω and R3 = 4.94 Ω respectively, are
connected in series to a 28.4 V battery that has negligible
internal resistance.
Find the equivalent resistance of the combination.
Find the current in each resistor.
Find the total current through the battery.
Find the voltage across each resistor.
Find the power dissipated in each resistor.
Which resistor dissipates the most power, the one with the
greatest resistance or...

Consider a simple circuit with two resistors connected in
parallel.
R1 = 30.0 Ohm, R2 = 10.0 Ohm, and a 12 V battery
Calculate the following values to one decimal places (enter just
the number)
The equivalent resistance Ohms
The voltage across resistor R1 V
The voltage across resistor R2 V
The current through resistor R1 A
The current through resistor R2 A
Consider a simple circuit with two resistors connected in
series.
R1 = 1.0 Ohm, R2 = 7.0 Ohm, and a 12 V...

Two resistors, R1 = 6.00 Ω and R2 = 11.0 Ω, are connected in
parallel, and the resulting combination is connected to a 9.00-V
battery. (a) Find the equivalent resistance of the combination.
Ω

Three resistors (R1 = 36 Ω, R2 = 33 Ω,
R3 = 37 Ω) are connected in series to a 7 V battery as
shown. The internal resistance of the battery is negligible.
(a) What is the current flowing through R1
(b) What is the current flowing through R2
(c) What is the current flowing through R3
(d) What is the voltage across R1
(e) What is the voltage across R2
(f) What is the voltage across R3

Find the equivalent resistance of a resistive network with three
resistors: R1 = 2 Ω (ohm), R2 = 7 Ω (ohm), and R3 = 9 Ω (ohm),
where the series combination of R1 and R2 is in parallel with R3.
In other words: (R1 in series with R2) in parallel with R3. Quote
your answer in Ω (ohm) rounded to one decimal place.

Determine the equivalent resistance of resistors R1, R2, and R3
in (Figure 1) for R1 = 30 Ω , R2 = 30.0 Ω, and R3 = 15 Ω.
Determine the current through R1 if ε = 110 V .
Determine the current through R2. (units A)
Determine the current through R3. (units A)

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