2. A thick wire of radius a needs to be joined to a thin wire of...

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2. A thick wire of radius a needs to be joined to a thin wire of radius b. Your job is to figure out how much resistance is in the connection between these two wires (shown in blue). The connection is a section of a cone. It has a resistivity of p, total length L, and the radius, r, (a-b) L which shrinks according to the formula r = a -- x. L r Thick Wire Thin Wire Connection a. Check that the formula for r will allow the connection to properly join to both the thick and thin wires (i.e., will r = a at the left end of the connection and r = b at the right end of the connection.). b. What is the resistance of this connection in terms of a, b, L, and p at room temperature. Hint: Think about how resistance, resistivity, cross sectional area, and length are related. (Final answer: R=PL. Be sure to show all work!) 2. A thick wire of radius a needs to be joined to a thin wire of radius b. Your job is to figure out how much resistance is in the connection between these two wires (shown in blue). The connection is a section of a cone. It has a resistivity of p, total length L, and the radius, r, (a-b) L which shrinks according to the formula r = a -- x. L r Thick Wire Thin Wire Connection a. Check that the formula for r will allow the connection to properly join to both the thick and thin wires (i.e., will r = a at the left end of the connection and r = b at the right end of the connection.). b. What is the resistance of this connection in terms of a, b, L, and p at room temperature. Hint: Think about how resistance, resistivity, cross sectional area, and length are related. (Final answer: R=PL. Be sure to show all work!)