Atypical rechargeable deep-cycle battery for an electric trolling motor (fishing boat) delivers 10a of current at a voltage of 12v for 10 hours. (a) how much charge (in coulombs) flows through the battery in this interval? (the answer is a positive value.) (b) how much energy (in joules) does the battery deliver? (the answer is a positive value.) (c) how much energy (in watt-hours) does the battery deliver? (the answer is a positive value.)

a) 360 kQ

b) 4.32 MJ

c) 1200 W-h

Explanation:

a) The definition of the current is.

having a count that 10 hours = 36.000 s

b) The definition of the Energy in power terms is.

and the definition of power is:

replacing in the energy formula.

solving the integral, have into account that t is in seconds.

c) The energy in W-h, we can find it multiplying power by hours

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a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

scientific laws are the result of testing theories and proving them to be facts.