Chapter 5 Math Problems 2022 with Answers

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Math Problems (Chapter 5) 1. Electric power is measured in ___WATTS_____? What is the Power formula? The Power Formula is P = IV and measured in Watts (W) What does each letter stand for? P = Power in watts, I = represents current in Amperes V = the electric potential in Volts A high frequency generator is operated at 100 kVp, 100 ms at 800 mA. What is the power rating? 100 kVp = 100,000 V 800 mA = 0.8 A, therefore P = 100,000 x 0.8 = 80,000 W or 80 kW 2. What is the formula for Ohm’s law ? Formula for Ohm’s law is V = IR What does each letter represent? V = Electric Potential Power in Volts I = Electrical current in Amperes R = Resistance in Ohms What would the voltage be if the resistance is 2 ohm and the current is 4? V = 4(2) = 8 V What would the amperage be if the voltage is 110 volt and the resistance is 1.5 ohm? I = V/R

I = 110/1.5 = 73.33 Amps 3. What is the Turn’s Ratio formula? The Turns Ratio formula is N s /N p What does each letter represent? N s represents the amount of turns, or windings, of the secondary coil N p represents the amount of turns, or windings, of the primary coil What does this formula tell me? The ratio between the number of turns of the secondary coil to the number of turns of the primary coil. It helps to identify the type of transformer being used, whether it’s a step up (turn ratio greater than 1), or a step down transformer (turn ratio less than 1). What is the ratio if I have 10,000 turns on the secondary coil and 20 turns on the primary coil? The ratio would be 500:1, or also written as 500 secondary turns to 1 primary turn. What is the ratio if I have 300 turns on the primary coil and 50,000 turns on the secondary? The ratio would be 500:3, or 500 to 3 4. What is the formula for Transformer Law ? V s /V p = N s / N p What does each letter represent? V s represents the amount of voltage generated in the secondary circuit V p represents the amount of voltage generated in the primary circuit N s represents the amount of turns, or windings, of the secondary coil N p represents the amount of turns, or windings, of the primary coil

The secondary side of a transformer has 400,000 turns; the primary side has 500 turns. What is the turn’s ratio? The turn ratio is 800:1, or 800 to 1. The secondary side of a transformer has 600,000 turns; the primary side has 300 turns. What is the turn’s ratio? The turn ratio is 2000:1, or 2000 to 1. Based on the answers of these two problems, the transformers are ___ Step-Up ____transformers. 5. The secondary side of a transformer has 200 turns; the primary side has 100,000 turns. What is the turn’s ratio, and what is the incoming voltage if the outgoing is 110 volts? The turn’s ratio is 1:500 or 1 to 500 (step-down), therefore: 500 x 110 = 55,000 volts on the primary circuit = V p The secondary side of a transformer has 600 turns; the primary side has 300,000 turns. What is the turn’s ratio and what is the incoming voltage if the outgoing is 220 volts? The turn’s ratio is 1:500 or 1 to 500 (step-down), therefore: 500 x 220 = 110,000 volts on the primary circuit = V p Based on the answers of these two problems, the transformers are __ Step-down ___transformers. 6. What is the formula for Transformer Law and Current? I s / I p = N s /N p or I s / I p = V s /V p What does each letter stand for?

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I s represents the secondary filament current I p represents the primary filament current V s represents the amount of voltage generated in the secondary circuit V p represents the amount of voltage generated in the primary circuit N s represents the amount of turns, or windings, of the secondary coil N p represents the amount of turns, or windings, of the primary coil The turn’s ratio for a filament transformer (Step-Down) is 0.135. What is the filament current in the secondary winding if the current through the primary winding is 0.9 A? I s = (0.9) x (1 / 0.135) = 6.67 A If the turn’s ratio of a filament transformer is 0.146, what is the filament current passing through the secondary winding if the primary winding is 0.7 A? I s = (0.7) x (1 / 0.146) = 4.8 A 7. What is the formula for Inverse Square law? I 1 / I 2 = (D 2 ) 2 / (D 1 ) 2 If my intensity is 4R at a SID of 64 inches, what is my intensity at 16 inches? Intensity would be 64R What formula will you use to figure this out? The Inverse Square Law Formula If I doubled my distance, my intensity (Increases or Decrease) by how much? Intensity will Decrease by ¼

8. I have a technique of 200mA and my time was 40,000ms, with a 40 inch SID. If I had to change my SID to 60 inches what is my new mAs? mAs 1 = time (in seconds) x mA, therefore: mAs 1 = 200 x 40 = 8000 mAs at 40 inch SID, therefore: mAs 2 = 18000 mAs at 60 inch SID What formula will you use to figure this out? 1 st , use the mAs formula which is the product of time (s) and milliamperage (mA) 2 nd , use the mAs Distance Formula to figure out the new mAs at the new SID of 60 inches. What three other possible techniques can you use with the new SID of 60 inches? What formula will you use to figure this out? Rearrangement of the mAs formula to figure out time: mAs = mA x time, therefore : time = mAs / mA 1. 400 mA, ______45_____ s = 18,000 mAs 2. 500 mA _______36________ s =18,000 mAs 3. 200 mA ________90_______ s = 18,000 mAs 9. I did a hip x-ray at 70 kVp and 20 mAs. The density is perfect, but the hip joint is underpenetrated. What is my new technique? New technique is 80.5 kVp and 10 mAs What formula do you use? Use the 15% kVp rule. Also have to remember to cut the mAs in half to maintain perfect density since increasing kVp doubles the radiographic density.

I did a shoulder at 82 kVp and 20 mAs. The radiograph turned out overexposed with too low contrast, how do I fix this problem? Decrease the mAs by 50% since the radiograph turned out overexposed, so the new technique is 82 kVp and 10 mAs.

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