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The production possibilities frontier (PPF) illustrates the concept of [BLANK-1] in resource allocation.

Explain the significance of Adam Smith’s concept of the invisible hand in modern economics. How does this principle relate to market economies?

Macroeconomics focuses on individual consumers and firms in the economy.

[BLANK-1] includes government actions regarding [BLANK-2] and spending to influence the economy.

[BLANK-1] forces individuals and societies to make [BLANK-2] about how to allocate resources effectively.

Understanding [BLANK-1] helps individuals make better [BLANK-2] when faced with scarcity.

Inflation refers to a general, sustained increase in the price level of goods and services.

A price ceiling encourages producers to supply more of a product.

A student mapped electric potential between two large parallel plates separated by 3.0 cm. The plate connected to the power supply’s positive terminal is at +270 V; the other is at 0 V. Points were sampled along the straight line perpendicular to the plates (the y-axis, with y=0y=0 at the 0 V plate). yy (cm) 0.0 0.5 1.0 1.5 2.0 2.5 3.0 V V(V) 0 45 89 134 179 224 269 Tasks (brief reasoning is fine): Field magnitude: Estimate the electric field EE between the plates from the data (use the slope of VV vs. yy). Give the magnitude in V/m and state your method. Uniformity: Do the data support a uniform field? Justify using your interval-by-interval slopes. Work & direction: A +2.0 nC+2.0\ \text{nC} charge moves from y=0.5 cmy=0.5\ \text{cm} to y=2.5 cmy=2.5\ \text{cm}. Determine the sign of the work done by the field and whether the charge gains or loses electric potential energy. Explain briefly. Equipotentials: Describe how the equipotential lines should be oriented relative to the plates and the field lines in this setup.

A conducting sphere of radius `R_cm` cm carries a net charge of `Q_uC` μC.Assuming electrostatic equilibrium, find the surface charge density σ\sigma in C/m².σ=Q4πR2\displaystyle \sigma = \dfrac{Q}{4\pi R^2}​