Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?
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![Problem Statement:
Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of
the solenoid points along the x-axis. Additionally, you know that the conventional current
running through the solenoid as a function of time:
i(t) = cot²,
(1)
where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal
vector is given by n = (0.94) î+ (0.32) ĵ.
(a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus
time.
(b) What will be the absolute values of the EMF induced in the small loop at 1.3s?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8390c3-c4c2-4e0e-87b2-e9e07cfb13f1%2F2b172a06-5004-44e0-9022-ce90f12e6c24%2Fondgpj9_processed.png&w=3840&q=75)
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- 4. Mom-and-Pop's Grocery Store has a small adjacent parking lot with three parking spaces reserved for the store's customers. During store hours, cars enter the lot and use one of the spaces at a mean rate of 2 per hour. If there is no parking space available, the car just leaves without waiting. For n = 0, 1, 2, 3, the probability Pn that exactly n spaces currently are being used is Po = 0.1, P₁ = 0.2, P₂ = 0.4, P3 = 0.3. (a) This parking lot can be interpreted as being a queueing system. Identify the customers and the servers. What constitutes a service time? What is the queue capacity? (b) Determine the basic measures of performance-L, Lq, W, and Wa-for this queueing system. (c) Use the results from part (b) to determine the average length of time that a car remains in a parking space. (d) Find p, the utilization factor.If events X and Y are mutually exclusive then A- P(X)P(Y) = 0 B- they are independent events C- their joint probability is zero D- P(X)P(Y) = P(X | Y)What do you type into an empty cell to start a formula? O An equal size (=) OA plus sign (+) O Number O Fx
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