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37 Alternating Current RC and LCR Circuits
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LABORATORY
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PRE - LABORATORY ASSIGNMENT
1. In a series RC circuit such as the one in Figure 37-1, the following phase relationship exists between
the generator voltage V, the capacitor voltage Vc, and the resistor voltage VR: (a) V and VR are in
phase, V c lags VR by 90° (b) Vc and VR are at angle 0, V leads Vc by 90° (c) V c lags VR by 90°, V lags VR
by angle • (d) VR lags Vc by P, Vc leads V by 90°.
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2. If a series RC circuit has VR=12.6 V and Vc=10.7 V, the generator voltage must be (a) 12.6 V (b) 23.3 V
(c) 1.9 V (d) 16.5 V. Show your work.
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3. A series RC circuit has w= = 2000 rad/s and R=300 12. The voltage Vc is measured to be 4.76 V, and VR
is measured to be 6.78 V. What is the value of C? Show your work. (a) 2.37 uF (b) 5.00 uF (c) 1.17 uF
(d) 4.67 uF.
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4. A series RC circuit of R=500 22 and C=3.00 uF is measured to have VR=8.07 V and Vc=6.68 V. What
is the current I, and what is the value of o the angular frequency? Show your work.
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PDF Physics Lab Manual
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374
Physics Laboratory Manual 1 Loyd
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5. A series LCR circuit consists of an inductor of inductance L and resistance r, a capacitor C, a resistor
R, and a generator of voltage V. Mark as true or false the following statements concerning the relative
phase of V, VL, Vr, Vc, and VR.
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1. V, and VR are in phase.
2. Vų leads Vc by 90°.
3. V is at angle o relative to VR-
4. VL-Vc is in phase with Vr.
5. Vc lags VR by 90°.
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6. Measurements on the circuit described in Question 5 give Vi=10.76 V, Vc=5.68 V, VR=6.32 V, and
Vr=3.75V. What is the generator voltage V? Show your work.
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7. An inductor with L= 150 mH and r= 200 N2 is in series with a capacitor, a resistor, and a generator of
1000 rad/s. The voltage across the inductor Vind is measured to be 10.87 V, VR is measured to
be 4.65 V, and Vc is measured to be 5.96 V. What is the generator voltage V? (Hint—This is the
measurement to be performed in this laboratory for LCR circuits. Use the appropriate equations to
find VL and Vr, and then use them and the values of VR and Vc to calculate V.)
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€ Cihai Manual
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LABORATORY 40 Reflection and Refraction with the Ray Box
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PRE - LABORATORY ASSIGNMENT
1. Define the index of refraction.
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2. State the law of reflection. Use a diagram to define the angles involved.
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3. State Snell's law. Define terms and angles using a diagram.
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4. A light ray is incident on a plane interface between two media. The ray makes an incident angle with
the normal of 25.0° in a medium of n=1.25. What is the angle that the refracted ray makes with the
normal if the second medium has n=1.55? Show your work.
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Physics Laboratory Manual — Loyd
5. A 60.0° prism has an index of refraction of 1.45 as shown below. A ray is incident as shown at an angle
of 60.0° to the normal of one of the prism faces. Trace the ray on through the prism and find the angles
02, 03, and 04 as defined in the laboratory instructions. Show your work.
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60°
n = 1.00
n = 1.00
7.
60°
n = 1.45
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