All categories

3 years ago

A 100 Ohm, 200 Ohm, and 400 Ohm resistors are in parallel with each other. What is the equivalent

Physics

2 answers:

krok68 [10]3 years ago

7 0

Answer:

1/R = 1/R1 + 1/R2 + 1/R3

1/1 + 1/2 + 1/4 = 1 + .5 + .25 = 1.75

1/1.75 = .572

multiplying this by 100 gives us

R = 57.2 ohms

The smallest resistor (100 ohms) will draw the most current

(One can also use R = R1 R2 R3 / (R1 R2 + R1 R3 + R2 R3)

ryzh [129]3 years ago

6 0

Hi there!

We can use the following equation to solve for equivalent resistance:

$\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}$

We can plug in the givens and solve.

$\frac{1}{R_T} = \frac{1}{100} + \frac{1}{200} + \frac{1}{400} \\\\\frac{1}{R_T} = 0.175\\\\R_T = \frac{1}{0.175} = \boxed{57.143 \Omega}$

The resistor that would draw the most current is the 100 Ohm resistor because current chooses the path of LEAST RESISTANCE. This can also be proved mathematically with the following:

For resistors in parallel, the POTENTIAL DIFFERENCE (VOLTAGE) is the same.

Since I = V/R, a smaller 'R' means a larger 'I'. Thus, the smallest resistor would have the greatest current through it.

You might be interested in

A ray of light strikes a smooth surface and is reflected. The angle of incidence is 35°. What can be predicted about the angle o

andreev551 [17]

By the law of reflection which says that the angle of reflection is equal to the angle of incidence, which in other words says, sin x = sin y, it can be said, based on the given that the angle of reflection is also equal to the angle of incidence of 35 degrees

5 0

3 years ago

Read 2 more answers

An object is hung from a spring balance attached to the ceiling of an elevator cab. The balance reads 85 N when the elevator is

Ilia_Sergeevich [38]

Answer:

Explanation:

Balance force ( W ) = 85 N

a) moving upward with constant velocity (V ) = 7.9 m/s.

The reading will not change since it is moving with constant velocity

W = 85 N

b) Moving upward with V = 7.9 m/s and decelerating at the rate of (a ) = 1.1 m /s²

The net force ( F ) = W - ma

where m = W/g = 85/9.81 = 8.6646 kg

F = 85 - 8.6646 * 1.1 = 75.4689 N

4 0

3 years ago

What is the meaning of s in heat energy?

ValentinkaMS [17]

Answer:Specific heat is the amount of heat required to raise one gram of any substance one degree Celsius or Kelvin. The formula for specific heat is the amount of heat absorbed or released = mass x specific heat x change in temperature.

Explanation:

HOPE IT HELP

6 0

3 years ago

Coherent light with wavelength = 600 nm falls on two very narrow closely spaced slits and the interference pattern is observed o

Mrac [35]

Answer:

The distance between the two slits is 1.2mm.

Explanation:

The physicist Thomas Young establishes, through its double slit experiment, a relationship between the interference (constructive or destructive) of a wave, the separation between the slits, the distance between the two slits to the screen and the wavelength.

$\Lambda x = L\frac{\lambda}{d}$ (1)

Where $\Lambda x$ is the distance between two adjacent maxima, L is the distance of the screen from the slits, $\lambda$ is the wavelength and d is the separation between the slits.

If light pass through two slits a diffraction pattern in a screen will be gotten, at which each bright region corresponds to a crest, a dark region to a trough, as consequence of constructive interference and destructive interference in different points of its propagation to the screen.

Therefore, d can be isolated from equation 1.

$d = L\frac{\lambda}{\Lambda x}$ (2)

Notice that it is necessary to express L and $\lambda$ in units of millimeters.

$L = 4m \cdot \frac{1000mm}{1m}$ ⇒ $4000mm$

$\lambda = 600nm \cdot \frac{1mm}{1x10^{6}nm}$ ⇒ $0.0006mm$

$d = (4000mm)\frac{0.0006mm}{2mm}$

$d = 1.2mm$

Hence, the distance between the two slits is 1.2mm.

6 0

3 years ago

A 70 kg driver gets into an empty taptap to start the day's work. The springs compress 2.3×10−2 m . What is the effective spring

ANEK [815]

Answer:

29856.521 N/m

Explanation:

$m=Mass\ of\ diver=70\ kg\\x=Length\ compressed\ by\ spring=2.3\times 10^{-2}\ m\\a=Acceleration\ due\ to\ gravity=9.81\ m/s^2\\F=Force\ exerted\ by\ diver=m\times a\\\Rightarrow F=70\times 9.81\\\Rightarrow F=686.7\ N\\k=spring\ constant\\F=k\times x\\\Rightarrow k=\frac {F}{x}\\\Rightarrow k=\frac {686.7}{2.3\times 10^{-2}}\\\therefore k=29856.521\ N/m$

5 0

4 years ago