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23 March, 04:32

A 1430 W radiant heater is constructed to operate at 115 V. (a) What is the current in the heater when the unit is operating? (b) What is the resistance of the heating coil? (c) How much thermal energy is produced in 1.00 h?

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  1. 23 March, 06:21
    0
    Current=12.43amperes

    Resistance=9.26ohms

    Thermal energy=3833640joules

    Explanation:

    Power (p) = 1430w

    Potential difference (v) = 115v

    Power (p) = current (I) x potential difference (v)

    1430=I x 115

    Current (I) = 1430 ➗ 115

    Current (I) = 12.43ampere

    P=I^2 x r where r stand for resistance

    1430 = (12.43) ^2 x r

    r=1430 ➗ (12.43) ^2

    r=1430 ➗ 154.5049

    r=9.26ohms

    Thermal energy (H) = I x v x t

    t=1hr

    t = (60 x 60) seconds

    t=3600seconds

    H=9.26 x 115 x 3600

    H=3833640joules
  2. 23 March, 06:35
    0
    Given Information:

    Voltage = V = 115 V

    Power = P = 1430

    Capacitance = 56.0 µF

    Required Information:

    Current = I = ?

    Resistance = R = ?

    Energy = E = ?

    Answer:

    I = 12.43 A

    R = 9.25 Ω

    E = 5.148x10⁶ Joules

    Explanation:

    (a) What is the current in the heater when the unit is operating?

    According to Ohm's law

    P = VI

    I = P/V

    I = 1430/115

    I = 12.43 A

    (b) What is the resistance of the heating coil?

    As V = IR

    R = V/I

    R = 115/12.43

    R = 9.25 Ω

    (c) How much thermal energy is produced in 1.00 h?

    E = Pt

    1 hour = 3600 seconds

    E = 1430*3600

    E = 5.148x10⁶ Joules
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