Question

If two resistors with resistances *R*_{1} and
*R*_{2} are connected in parallel, as in the figure
below, then the total resistance *R*, measured in ohms (Ω),
is given by

1 |

R |

=

1 |

R_{1} |

+

1 |

R_{2} |

.

If *R*_{1} and *R*_{2} are
increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast
is *R* changing when *R*_{1} = 50 Ω and
*R*_{2} = 60 Ω? (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 R is the total resistance of three resistors,
connected in parallel, with resistances R1,
R2, R3, then
1
R
=
1
R1
+
1
R2
+
1
R3
.
If the resistances are measured in ohms as
R1 = 40 Ω, R2 = 25 Ω, and
R3 = 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.)

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

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...

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...

Two resistors, with resistance R1= 5 ohms and R2=25 ohms are
connected in series in a circuit. The current flow generates heat
at a rate of 1280 J/s in R1. What is the voltage drop across
R2?

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
of this combination. Give answer in Ohms.
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.

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)

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)

Assume you are given two resistors with resistances R1=4.0 kΩ
and R2=6.0 kΩ and two capacitors with capacitances C1=4.0 µF and
C2=6.0 µF.
a) Calculate the equivalent resistances Req and the equivalent
capacitance Ceq if the resistors are connected in series and the
capacitors are connected in parallel.
b) Now, use the Req and Ceq that you calculate in part (a) to
construct an RC circuit. If an emf of 27 V is suddenly applied
across Req and Ceq, calculate...

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