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Troyanec [42]
3 years ago
14

A resistor is made out of a long wire having a length L. Each end of the wire is attached to a termina of a battery providing a

constant voltage V0. A currect I flows through the wire. If the wire were cut in half, making two wires of length L/2, and both wires were attached to the battery (the end of both wires attached to one terminal, and the other ends attached to the other terminal), what would be the total currect flowing through the two wires?A) 4I B) 2I C) I D) I/2 E) I/4What equation do I use? What is the logic behind the equation? What is the answer?
Physics
1 answer:
Len [333]3 years ago
8 0

Answer:

B) 2I

Explanation:

The equation that relates voltage, current and resistance is V=RI.

The equation for the resistance of a material in terms of its resistivity, length and cross-sectional area is R=\frac{\rho L}{A}

In this case, the length is divided by 2 while keeping its resistivity (since it's the same material) and area, which means the resistance gets divided by 2. Then, looking at the equation I=V/R and keeping V constant, one deduces that since the resistance now is half than before then current now must be twice as before.

This is all intuitive in fact, cuting a homogeneous resistor in half and leaving the rest of the variables constant makes twice as easy for the electrons to cross the conductor, thus twice the current (one has to know that all the variables involved behave linearly, as the equations show).

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The distance y3,red from the center of the pattern to the location of the third diffraction minimum of the red laser is 4.05 cm.
oksian1 [2.3K]

Answer:

L = a 1,929 10⁴ m

a = 0.1 mm = 0.1 10⁻³ m,     L = 1,929 m

Explanation:

The diffraction phenomenon is described by the expression

       a sin θ = m λ

Let's use trigonometry to find the breast

        tan θ = y / x

As the angles are very small

       tan θ = sin θ/ cos θ = sin θ = y / x

We replace

        a y / L = m λ

        L = a y / m λ

The red light has a wavelength of Lam = 700 nm = 700 10⁻⁹ m, in the third pattern it is m = 3

       L = a  4.05 10⁻² / (3 700 10⁻⁹)

       L = a 1,929 10⁴ m

To give a specific value we must know the width of the slit, suppose a value of  a = 0.1 mm = 0.1 10⁻³ m

       L = 1,929 m

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3 years ago
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sergeinik [125]

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5 0
3 years ago
Identifying Advantages of Parallel Circuits
melisa1 [442]

Answer: If one bulb goes out the other bulbs stay lit.

If there is a break in one branch of the circuit, current can still flow through the other branches.

Explanation:

3 0
3 years ago
Read 2 more answers
66. Calculate the displacement and velocity at times of (a) 0.500 s, (b) 1.00 s, (c) 1.50 s, and (d) 2.00 s for a ball thrown st
kozerog [31]

Answer:

a) t=1s

y = 10.1m

v=5.2m/s

b) t=1.5s

y =11.475 m

v=0.3m/s

c) t=2s

y =10.4 m

v=-4.6m/s  (The minus sign (-) indicates that the ball is already going down)

Explanation:

Conceptual analysis

We apply the free fall formula for position (y) and speed (v) at any time (t).

As gravity opposes movement the sign in the equations is negative.:  

y = vi*t - ½ g*t2 Equation 1

v=vit-g*t  Equation 2

y: The vertical distance the ball moves at time t  

vi: Initial speed

g= acceleration due to gravity

v= Speed the ball moves at time t  

Known information

We know the following data:

Vi=15 m / s

g =9.8 \frac{m}{s^{2} }

t=1s ,1.5s,2s

Development of problem

We replace t in the equations (1) and (2)  

a) t=1s

y = 15*1 - ½ 9.8*1^{2}=15-4.9=10.1m

v=15-9.8*1 =15-9.8 =5.2m/s

b) t=1.5s

y = 15*1.5 - ½ 9.8*1.5^{2}=22.5-11.025=11.475 m

v=15-9.8*1.5 =15-14.7=0.3m/s

c) t=2s

y = 15*2 - ½ 9.8*2^{2}= 30-19.6=10.4 m

v=15-9.8*2 =15-19.6=-4.6m/s  (The minus sign (-) indicates that the ball is already going down)

3 0
3 years ago
An object with height h, mass M, and a uniform cross-sectional area A floats upright in a liquid with density ρ.
soldi70 [24.7K]
** Missing information: The vertical distance from surface of liquid to bottom of the object is sought in this question, with the condition that the object is at equilibrium **

Ans: The vertical distance = y = M/(ρA)

Explanation:

Support the vertical distance = y

Object's density = M/(A*h) (since A*h = volume)

By applying the condition, 

(M/(Ah))/ρ = y/h

M/(ρAh) = y/h

y = M/(ρA)  

7 0
4 years ago
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