Question

The total resistance *R* produced by three conductors
with resistances *R*_{1}, *R*_{2},
*R*_{3} 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 = e^{x}^{^2 - y^2} (3,-3,1)

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.)

Calculate the total resistance of a circuit containing three
resistors wired in parallel when R1 = 100 , R2 = 200 O, and R3= 50
O
Consider that you slightly alter the previous circuit so that R1
and R2 are still in parallel, but R3 is now in series with the
pervious two. What is the total resistance of this
circuit?

Resistor R1=3.0 Ohm is connected in series to a parallel
combination of R2=9.0 Ohm and R3=7.0 Ohm. The combination of three
resistors is connected to a real battery of emf 12.0 V. Find
internal resistance of a battery if current through a battery is
0.40 A. Give answer in Ohms.

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

Resistors R1 = 20 W, R2 = 40 W,
and R3 = 60 W, are all connected in series with one
another. The combination of three resisters in series is
now connected in parallel with a 240 W resistor, and the resulting
circuit is connected across an ideal 62.5 volt battery.
a) Find the equivalent resistance connected across the
battery.
b) Find the potential across each of the four resistors, and the
current through each.
c) Find the power dissipated by...

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...

Resistor R1=3.7 Ohm is connected in series to parallel
combination of resistors R2=7.9 Ohm and R3=11.1 Ohm. This
combination is connected to the ideal battery of V=10.6 V. Find
voltage drop on the resistor 7.9. Give answer in V.

A student is given 10V battery and 3 resistors.
R1= 200ohm
R2=300ohm
R3= 400ohm
a) Assume all 3 resistors are parallel to the battery. Find the
circuit's equivalence resistance.
b) Find Ieq.
c) Find I2.

[Image 14 - R1 Measured Resistance] = 2.32
[Image 15 – R2 Measured Resistance] = 2.73
[Image 16 – R3 Measured Resistance] = 4.09
[Image 17 – Power Supply Voltage] = 12.00
Using the Parallel Rule (voltages across components connected in
parallel are equal), Ohm’s Law and the measured values from Images
14 – 17, Calculate I1, I2, and I3.
Add currents I1, I2, and I3 to
find I total:
Calculated Current
Measured
Current
% Error
I1
I2
I3
I...

Given three resistors R1 = 4 ohms, R2 = 6
ohms, R3 = 8 ohms and a 12 volt battery source.
Construct a schematic diagram of the third resistor in parallel to
the series combination of the first and second and resistor. Solve
for total resistance, total current, and the voltage through each
resistor

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