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shepuryov [24]
3 years ago
11

An alternating source drives a series RLC circuit with an emf amplitude of 6.34 V, at a phase angle of +33.3°. When the potentia

l difference across the capacitor reaches its maximum positive value of +5.33 V, what is the potential difference across the inductor (sign included)?
Physics
2 answers:
Katena32 [7]3 years ago
8 0

Answer:

V_{L}  =- 8.78v

Explanation:

E^{2} _{m}= V^{2} _{R} + (V_{L} -V _{C} )^{2}

OR  V_{L} = V_{c}  + \sqrt{E^{2}{m}  - V^{2} {R}  }

where VR = E{m}cosФ

V_{L} = V_{c}  + \sqrt{E^{2}_{m} - E^{2}_{m} cos^{2}   }Ф

V_{L} = V_{c} + {E_{m} \sqrt{1 - cos^{2} }  }Ф

V_{L} = V_{c} + E_{m}sinФ

substituting the given values

V_{L}  = 5.33 + 6.34 x sin33°

V_{L} = -8.78v

madreJ [45]3 years ago
4 0

Answer: -8.81 V

Explanation:

Depending on the arrangement in a RLC circuit, we can have

From the phasor diagram

E(m)² = V(R)² + [V(L) - V(C)]², making V(L) subject of formula, we have,

V(L) = V(C) + √[E(m)² - V(R)²]

And V(R) = E(m) cosΦ, so that

V(L) = V(C) + √[E(m)² - E(m)² cos²Φ]

V(L) = V(C) + E(m)√[1 - cos²Φ]

V(L) = V(C) + E(m)sinΦ

V(L) = 5.33 + 6.34sin 33.3°

V(L) = 5.33 + 3.48

V(L) = 8.81 V

both V(L) and V(C) are 180° out of phase, so, V(C) = -8.81 V

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With the same block-spring system from above, imagine doubling the displacement of the block to start the motion. By what factor
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Answer:

A)     K / K₀ = 4   b)     v / v₀ = 4

Explanation:

A) For this exercise we can use the conservation of mechanical energy

in the problem it indicates that the displacement was doubled (x = 2xo)

starting point. At the position of maximum displacement

      Em₀ = Ke = ½ k (2x₀)²

final point. In the equilibrium position

      Em_{f} = K = ½ m v²

        Em₀ = Em_{f}

        ½ k 4 x₀² = K

        (½ K x₀²) = K₀

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          ½ k 4 x₀² = ½ m v²

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           v₀ = k / m x₀

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A train slows down as it pulls into a station. if the train is moving from your left to your right, what are the directions of t
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Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.

Therefore, the directions of the vectors for velocity and acceleration are in the opposite directions.

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An electric dipole consisting of charges of magnitude 1.70 nC separated by 6.80 μm is in an electric field of strength 1160 N/C.
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Answer:

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Explanation:

The dipole moment of a dipole is the product of charges by distance

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With 2a the distance between the charges and the magnitude of the charges

                        p = 1.7 10⁻⁹ 6.8 10⁻⁶

                        p = 1.16 10⁻¹⁴ C m

 

The potential energie dipole  is described by the expression

                       U = - p E cos θ

Where θ is the angle between the dipole and the electric field, the zero value of the potential energy is located for when the dipole is perpendicular to the electric field line

Orientation parallel to the field

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                      U1 = 1.35 10⁻¹¹ J

Antiparallel orientation

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                      U2 = -1.35 10⁻¹¹ J

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                         ΔU = 1.35 10-11 - (-1.35 10-11)

                         ΔU = 2.7 10 -11 J

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