A metal sphere of radius R≈5.0 cmR \approx 2.0\ \text{cm} is…

A metal sphere of radius R≈5.0 cmR \approx 2.0\ \text{cm} is connected to a +60.0 V+30.0\ \text{V} supply and allowed to reach electrostatic equilibrium. A voltmeter probe measures potential at points outside the sphere along a radial line: rr (cm) 2.0 3.0 4.0 5.0 6.0 8.0 10.0 VV (V) 60.0 40.1 15.2 12.1 10.1 7.6 6.1 (Here rr is the distance from the sphere’s center; just outside the surface r≈Rr\approx R.) Tasks (brief reasoning is fine): Model check: For an isolated charged sphere, V(r)∝1/rV(r)\propto 1/r outside. Test this by evaluating V⋅rV\cdot r for several rows—does it stay roughly constant? What does that imply about the model? Estimate RR or V ⁣sRV_{\!s}R: Using your check in (1), estimate the product V ⁣sRV_{\!s}R (surface potential ×\times radius). Does it agree with the given V ⁣s=60.0 VV_{\!s}=30.0\ \text{V} and R≈5.0 cmR\approx 2.0\ \text{cm}? Field at r=6.0 cmr=4.0\ \text{cm}: Use E(r)=∣dV/dr∣≈V ⁣sR/r2E(r)=\big|\mathrm{d}V/\mathrm{d}r\big|\approx V_{\!s}R/r^{2} to estimate the electric field magnitude at r=6.0 cmr=4.0\ \text{cm}. Report in V/m and note the direction (radially inward or outward). Inside the conductor: What are the values of EE and VV inside the metal sphere (for r

A pharmaceutical research company needs to design a system t…

A pharmaceutical research company needs to design a system to track drug trials. The CIO wants to start by ensuring the system supports broad business goals like regulatory compliance and patient safety before diving into table design. Which modeling approach is most appropriate to begin with? Options: A. Bottom-up B. Top-down C. Middle-out D. Physical-first Answer: Top-down Explanation:Starting with business goals and working toward more detailed models is a top-down approach. Bottom-up would begin with existing structures. Middle-out is rarely used but refers to starting in the middle (entities/relationships) and expanding both ways. Physical-first isn’t a formal methodology.

Match the business rule to the correct cardinality: Each i…

Match the business rule to the correct cardinality: Each invoice must be linked to exactly one customer. A warehouse may have no shipments yet, but can have many over time. Each employee belongs to one department, and departments must have at least one employee. Options:A. One and only oneB. Zero or manyC. One or many Correct Answers:1 → A (One and only one)2 → B (Zero or many)3 → C (One or many) Explanation:Each describes a classic rule — invoices always need one customer, warehouses may be empty, and departments require at least one employee.