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Zielflug [23.3K]
3 years ago
8

A wire must be replaced in a circuit by a new wire of the same material but nine times longer. If the new wire's resistance is t

he same as the original wire's, what is the diameter of the new wire?
O the same as the original diameter
O one half the original diameter
O one third the original diameter
O three times the original diameter
O nine times the original diameter
Physics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

three times the original diameter

Explanation:

From the wire's resistance formula, we can calculate the relation between the diameter of the wire and its length:

R=\rho\frac{l}{\pi \frac{d^2}{4}}\\d=\sqrt{\rho \frac{4 l}{\pi R}}\\

Here, d is the wire's diameter, \rho is the electrical resistivity of the material and R is the resistance of the wire. We have l'=9l

d'=\sqrt{\rho \frac{4 l'}{\pi R}}\\d'=\sqrt{\rho \frac{4 (9l)}{\pi R}}\\d'=3\sqrt{\rho \frac{4 l}{\pi R}}\\d'=3d

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pashok25 [27]

Answer:

\huge{ \boxed{ \bold{ \sf{77 \: m/s}}}}

☯ Question :

  • How fast is a wave travelling if it has a wavelength of 7 meters and a frequency of 11 Hz?

☯ \underbrace{ \sf{Required \: Answer  :  }}

☥ Given :

  • Wavelength ( λ ) = 7 meters
  • Frequency ( f ) = 11 Hz

☥ To find :

  • Speed of sound ( v ) = ?

☄ We know ,

\boxed{ \sf{v = f \times λ}}

where ,

  • v = speed of sound
  • f = frequency
  • λ = wavelength

Now, substitute the values and solve for v.

➺ \sf{v = 11 \times 7}

➺ \boxed{ \sf{v = 77 \: m/s}}

-------------------------------------------------------------------

✑ Additional Info :

  • Frequency : The number of complete vibrations made by a particle of a body in one second is called it's frequency. It is denoted by the letter f . The SI unit of frequency is hertz ( Hz ).

  • Wavelength : The distance between two consecutive compressions or rarefactions of a sound wave is called wavelength of that wave. It is denoted by λ ( lambda ) and it's SI unit is m.

  • Speed of a sound wave : The distance covered by a sound wave in one second is called speed of sound wave. It depends on the product of wavelength and frequency of the wave.

Hope I helped!

Have a wonderful time! ツ

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7 0
3 years ago
A 20-turn coil of area 0.32 m2 is placed in a uniform magnetic field of 0.055 T so that the perpendicular to the plane of the co
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Answer:

1.5 * 10^-2 Tm^2

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B = 0.055 T

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theta = 30

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A potential energy function is given by u(x)=(3.00n)xâ(1.00n/m2)x3. at what position or positions is the force equal to zero?
qwelly [4]

I believe the correct form of the energy function is:

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or in simpler terms without the units:

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Since the highest degree is power of 3, therefore there are two roots or solutions of the equation.

 

Since we are to find for the positions x in which the force equal to zero, u (x) = 0, therefore:

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3 x + x^3 = 0

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x^2 = - 3

x = sqrt (- 3)

x = - 1.732 i, 1.732 i

 

The other two roots are imaginary therefore the force is only equal to zero when the position is also zero.

 

Answer:

x = 0

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